What does n equal in math

Whether the discriminant is greater than zero, equal to zero or less than zero can be used to determine if a quadratic equation has no real roots, real and equal roots or real and unequal roots ...

What does n equal in math. 1 Dollar is equal to 100 Cents. 60 seconds is equal to 1 minute. The symbol is =. Illustrated definition of Equal: Exactly the same amount or value Examples: 3 4 is equal to 7 1 Dollar is equal to 100 Cents 60 seconds...

Equivalent set. If the number of elements is the same for two different sets, then they are called equivalent sets. The order of sets does not matter here. It is represented as: n(A) = n(B) where A and B are two different sets with the same number of elements. Example: If A = {1,2,3,4} and B = {Red, Blue, Green, Black}

Jan 23, 2011 · This is part 2 of 5. Check out the others at http://mathfour.com/?p=90. The force (300 N) divided by the mass (300 kg) is equal to 1 m/s 2, the acceleration Jordan needs to use to move the chair. Net Force Usually, there are lots of forces acting on objects all at ...A number n squared is written as n² and n² = n × n. If n is an integer then n² is a perfect square. For example, 3 squared is written as 3² and 3² = 3 × 3 = 9. Nine is a perfect square. Numbers 0 through 10 squared . 0 squared is 0² = 0 × 0 = 0; 1 squared is 1² = 1 × 1 = 1; 2 squared is 2² = 2 × 2 = 4; 3 squared is 3² = 3 × 3 = 9The equal sign or equal sign, formerly known as the equality sign, is the mathematical symbol =, indicating equality in some well-defined function.For example, in an equation, it is located between two expressions with the same value, or for which one analyses the conditions under which they have the same value. The equal sign or equal sign, formerly known as the equality sign, is the mathematical symbol =, indicating equality in some well-defined function.For example, in an equation, it is located between two expressions with the same value, or for which one analyses the conditions under which they have the same value. In short, a factorial is a function that multiplies a number by every number below it till 1. For example, the factorial of 3 represents the multiplication of numbers 3, 2, 1, i.e. 3! = 3 × 2 × 1 and is equal to 6. In this article, you will learn the mathematical definition of the factorial, its notation, formula, examples and so on in detail.12. Short answer: A ⊊ B A ⊊ B means that A A is a subset of B B and A A is not equal to B B. Long answer: There is some confusion on mathematical textbooks when it comes to the symbols indicating one set is a subset of another. It's relatively clear what the symbol " ⊆ ⊆ " means. This symbol is more or less universally understood as the ...Cardinality. n (A) = n, n is the number of elements in the set. n (A) = ∞ as the number of elements are uncountable. union. The union of two finite sets is finite. The union of two infinite sets is infinite. Power set. The power set of a finite set is also finite. The power set of an infinite set is infinite.

nth root ( ) grouping symbols (round brackets) 2(a−3) [ ] grouping symbols (square brackets) 2[ a−3(b+c) ] { } set symbols (curly brackets) {1,2,3} = equals: 1+1 = 2: ≈: approximately equal to: π ≈ 3.14: ≠: not equal to: π ≠ 2 < ≤: less than, less than or equal to: 2 < 3 > ≥: greater than, greater than or equal to: 5 > 1: ⇒ ... math. ceil (x) ¶ Return the ceiling of x, the smallest integer greater than or equal to x. If x is not a float, delegates to x.__ceil__, which should return an Integral value. math. comb (n, k) ¶ Return the number of ways to choose k items from n items without repetition and without order. Evaluates to n! / (k! * (n-k)!) when k <= n and ...increment: An increment is a small, unspecified, nonzero change in the value of a quantity. The symbol most commonly used is the uppercase Greek letter delta ( ). The concept is applied extensively in mathematical analysis and calculus. "$2$ divides $6$" can be written $2\mid6$. This is a statement and does not have any numerical value. It says that $2$ goes into $6$ exactly with no remainder, or that $6$ is an integer times $2$. This statement is true. Likewise, $3\mid7$ is the statement that $3$ goes into $7$ exactly with no remainder.Sep 28, 2022 · What does N stand for in physics waves? sound waves In sound: Fundamentals and harmonics. Here n is called the harmonic number, because the sequence of frequencies existing as standing waves in the string are integral multiples, or harmonics, of the fundamental frequency. What is N equal to? In mathematics, N is the symbol for natural numbers. In mathematics, the logarithm is the inverse function to exponentiation.That means that the logarithm of a number x to the base b is the exponent to which b must be raised to produce x.For example, since 1000 = 10 3, the logarithm base 10 of 1000 is 3, or log 10 (1000) = 3.The logarithm of x to base b is denoted as log b (x), or without parentheses, …10 cut into 5 equal parts is 2: 2×2×2×2×2 = 2 5 = 32 The winner is the number closest to " e ", in this case 2.5. Try it with another number yourself, say 100, ... what do you get? What does n equal in the formula for the effective annual rate if the calculations are done on a quarterly basis (4 times a year)? ... Upgrade to Premium to enroll in Business 110: Business Math.

For the next trigonometric identities we start with Pythagoras' Theorem: The Pythagorean Theorem says that, in a right triangle, the square of a plus the square of b is equal to the square of c: a 2 + b 2 = c 2. Dividing through by c2 gives. a2 c2 + b2 c2 = c2 c2. This can be simplified to: ( a c )2 + ( b c )2 = 1.The = equals symbol is used to show that the values on either side of it are the same. It is most commonly used to show the result of a calculation, for example 2 + 2 = 4, or in equations, such as 2 + 3 = 10 − 5. You may also come across other related symbols, although these are less common: ≠ means not equal. For example, 2 + 2 ≠ 5 - 2.What does (n!) mean in maths? - Quora. Something went wrong. Wait a moment and try again.(mathematics) Approximately equal to. Eric Weisstein, Wolfram Mathworld, "Approximately Equal": If two quantities A and B are approximately equal, this is written A ≈ B. Synonyms: ~=, ≅ Homeomorphic to. Synonyms . ≒; Related terms = (equal to) ≠ (not equal to) ≅ (approximately equal to; congruent to; isomorphic to)Here is a list of commonly used mathematical symbols with names and meanings. Also, an example is provided to understand the usage of mathematical symbols. x ≤ y, means, y = x or y > x, but not vice-versa. a ≥ b, means, a = b or a > b, but vice-versa does not hold true. .

Scholarship gif.

There are more than 10000 math symbols. Some of the basic ones are =,+,−,≠,±, * and so on. There are complex symbols like \(\alpha\), \(\varepsilon\) and so on. What is the Math Symbol Used for the Period Of a Wave? The math symbol that is used for the period of a wave is λ. It is also known as wavelength which is measured in units of ...Solving Equations. First go to the Algebra Calculator main page. In the Calculator's text box, you can enter a math problem that you want to calculate. For example, try entering the equation 3x+2=14 into the text box. After you enter the expression, Algebra Calculator will print a step-by-step explanation of how to solve 3x+2=14.In short, a factorial is a function that multiplies a number by every number below it till 1. For example, the factorial of 3 represents the multiplication of numbers 3, 2, 1, i.e. 3! = 3 × 2 × 1 and is equal to 6. In this article, you will learn the mathematical definition of the factorial, its notation, formula, examples and so on in detail.The equation. F n = F n − 1 + F n − 2. means that the n -th term of the sequence is obtained by the sum of the 2 immediately previous terms. Usually the subscripts are natural numbers, i.e. a number from { 1, 2, 3, …. }. That means that the equation above only make sense if n ≥ 3.In geometry, n can be used to name a line and N can be used to name a point. In statistics, N is the number of observations in the sample and N is the number of observations in the population. In algebra, n can be used to name an unknown variable in the same way the other alphabets are used.

A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula. As formulas are entirely constituted with symbols of various types, many symbols are needed for ...The transitive property of equality is that, if M equals N, and N equals P, then M also equals P. The transitive property of inequality states that if M is greater than N and N is greater than P, then M is also greater than P.Greatest lower bound of some set of numbers is a number which is a lower bound of the set and is bigger or equal to any other lower bound of the set. inf A inf A means greatest lower bound of the set A A. So e.g. inf A = 5 inf A = 5 means greatest lower bound of the set A A is 5 5 . Greatest lower bound is also called infimum. Share. Cite. …Given n ∈ N, n-dimensional Euclidean space is the vector space Rn equipped ... The first issue to address is what does a prime element of R mean? The problem ...Yes. In algebra, as the multiplication symbol (×) looks very much like an x, it is not written and any two items written next to each other are multiplied together. With 8n this means 8 times n, and n is used to represent a number; thus 8n does indeed mean multiply a number by 8.Sep 28, 2022 · What does N stand for in physics waves? sound waves In sound: Fundamentals and harmonics. Here n is called the harmonic number, because the sequence of frequencies existing as standing waves in the string are integral multiples, or harmonics, of the fundamental frequency. What is N equal to? In mathematics, N is the symbol for natural numbers. Interval notation: ( − ∞, 3) Any real number less than 3 in the shaded region on the number line will satisfy at least one of the two given inequalities. Example 2.7.4. Graph and give the interval notation equivalent: x < 3 or x ≥ − 1. Solution: Both solution sets are graphed above the union, which is graphed below.... Math Learning Support. Resources. Placement Test Practice · Study Resources ... We don't get what "a" is because of course, zero times zero does not equal 1.math. ceil (x) ¶ Return the ceiling of x, the smallest integer greater than or equal to x. If x is not a float, delegates to x.__ceil__, which should return an Integral value. math. comb (n, k) ¶ Return the number of ways to choose k items from n items without repetition and without order. Evaluates to n! / (k! * (n-k)!) when k <= n and ...

In geometry, an equilateral triangle is a triangle that has all its sides equal in length. Since the three sides are equal therefore the three angles, opposite to the equal sides, are equal in measure. Therefore, it is also called an equiangular triangle, where each angle measure 60 degrees. Just like other types of triangles, an equilateral ...

n is the exponent. The exponent is the number of times the base is used as a ... Math Tutors Actuarial Exam IFM Courses & Classes Special & General ...Triangle. ABC has 3 equal sides. Triangle ABC has three equal sides. ∠. Angle. ∠ABC is 45°. The angle formed by ABC is 45 degrees. ⊥. Perpendicular.(μ is the mean weight of the children.) 4. Find the value of. 3. ∑ i=1. (xi − μ)2 ... The formula for a mean of a group of N scores, is μ = 1. N. N. ∑ i=1 xi.An exclamation point denotes something called a factorial. The formal definition of n! (n factorial) is the product of all the natural numbers less than or equal to n. In math symbols: n! = n*(n-1)*(n-2)... Trust me, it's less confusing than it sounds. Say you wanted to find 5!. You just multiply all the numbers less than or equal to 5 until you get to …Definition: Set A is equivalent to set B if n(A) = n(B). Example. State whether the sets in each pair are equivalent. (a) {a, b, c, d} and {a, c, d, b}. (b) ...14 Ağu 2020 ... iii) What does n − 1 represent? 22. Suppose 2n represents an even ... Find a mathematical expression to represent the values. i) How many ...The equal sign in math is a sign that shows the equality between two expressions. In simple words, the meaning of equal sign is that there is an equality between the values, or expressions written on both the sides. The symbol that represents the equal sign is given by two small parallel horizontal lines. The symbol “ = ” represents that ...Sep 28, 2022 · What does N stand for in physics waves? sound waves In sound: Fundamentals and harmonics. Here n is called the harmonic number, because the sequence of frequencies existing as standing waves in the string are integral multiples, or harmonics, of the fundamental frequency. What is N equal to? In mathematics, N is the symbol for natural numbers. Oct 4, 2019 · In mathematics, the expression 3! is read as "three factorial" and is really a shorthand way to denote the multiplication of several consecutive whole numbers. Since there are many places throughout mathematics and statistics where we need to multiply numbers together, the factorial is quite useful. Some of the main places where it shows up are ...

Garou vs battle.

Ku football uniforms.

Find an answer to your question What does n equal in math. Try new AI-powered features and SAVE up to 72% on a premium plan! Upgrade arrow right. Skip to main content. search. Ask Question. Ask Question ... Answer: N is just a letter. Step-by-step explanation: N is used in algebra to replace an unknown number. Example: ...Question: Use the geometric description of the dot product to verify the Cauchy-Schwarz inequality and to show that equality occurs if and only if one of the vectors is a scalar multiple of the other. Answer: This formula says that. u ⋅ v =|u||v| cosθ u · v = | u | | v | cos θ. where θ is the included angle between the two vectors.12. Short answer: A ⊊ B A ⊊ B means that A A is a subset of B B and A A is not equal to B B. Long answer: There is some confusion on mathematical textbooks when it comes to the symbols indicating one set is a subset of another. It's relatively clear what the symbol " ⊆ ⊆ " means. This symbol is more or less universally understood as the ...Interval notation: ( − ∞, 3) Any real number less than 3 in the shaded region on the number line will satisfy at least one of the two given inequalities. Example 2.7.4. Graph and give the interval notation equivalent: x < 3 or x ≥ − 1. Solution: Both solution sets are graphed above the union, which is graphed below. Type of What Does N Equal in Math. Students tend to concentrate on the very first numbers presented and often subtract or add them without respect to the words utilized in the text. There are three major problems. In other words, the students will think plenty of interesting questions that will extend the issue and attempt to answer them.Math is often called the universal language. Learn all about mathematical concepts at HowStuffWorks. Advertisement Math is often called the universal language because no matter where you're from, a better understanding of math means a bette...2 Answers. Sorted by: 11. The factorial of a number is represented by the exclamation point (!). The factorial of a number x x is often described as the product of all positive integers less then or equal to x x. For example: 4! = 4 ⋅ 3 ⋅ 2 ⋅ 1 = 24 4! = 4 ⋅ 3 ⋅ 2 ⋅ 1 = 24. It is often also useful to describe x! x! in a recursive ...See tutors like this. n! refers to a factorial, a product of n numbers, each one less than the preceding value. You can write a factorial n! by starting with the number n, multiplying it by one less than the previous number, and repeat until you reach 1, at which time you can stop. So 5! can be written as follows: 5! = 5 * 4 * 3 * 2 * 1 = 120.Here is a list of commonly used mathematical symbols with names and meanings. Also, an example is provided to understand the usage of mathematical symbols. x ≤ y, means, y = x or y > x, but not vice-versa. a ≥ b, means, a = b or a > b, but vice-versa does not hold true. . ….

In mathematics, Euler's identity [note 1] (also known as Euler's equation) is the equality. where. e is Euler's number, the base of natural logarithms, i is the imaginary unit, which by definition satisfies i2 = −1, and. π is pi, the ratio of the circumference of a circle to its diameter. Euler's identity is named after the Swiss ...Watch this video to see how to use a measuring tape or ruler and some simple math to divide a board or piece of plywood into equal parts. Expert Advice On Improving Your Home Videos Latest View All Guides Latest View All Radio Show Latest V...Basic Math. Solve for n 8=n+8. 8 = n + 8 8 = n + 8. Rewrite the equation as n+8 = 8 n + 8 = 8. n+8 = 8 n + 8 = 8. Move all terms not containing n n to the right side of the equation. Tap for more steps... n = 0 n = 0. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by ...A tutoring service specializes in preparing adults for high school equivalence tests. Among all the students seeking help from the service, \(63\%\) need help in mathematics, \(34\%\) need help in English, and \(27\%\) need help in both mathematics and English. What is the percentage of students who need help in either mathematics or …N(μ,σ2), normal distribution, gaussian distribution ; U(a,b), uniform distribution, equal probability in range a,b ; exp(λ), exponential distribution, f (x) = λe- ...Often brackets are put around negative numbers to make them easier to read, e.g. (-2). If a number is positive, the + is usually missed out before the number. So 3 is really (+3). Adding and multiplying combinations of positive and negative numbers can cause confusion and so care must be taken.These are symbols that is most commonly used in linear algebra. If x=y, x and y represent the same value or thing. If x≈y, x and y are almost equal. If x≠y, x and y do not represent the same value or thing. If x<y, x is less than y. If x>y, x is greater than y. If …math. ceil (x) ¶ Return the ceiling of x, the smallest integer greater than or equal to x. If x is not a float, delegates to x.__ceil__, which should return an Integral value. math. comb (n, k) ¶ Return the number of ways to choose k items from n items without repetition and without order. Evaluates to n! / (k! * (n-k)!) when k <= n and ...For the next trigonometric identities we start with Pythagoras' Theorem: The Pythagorean Theorem says that, in a right triangle, the square of a plus the square of b is equal to the square of c: a 2 + b 2 = c 2. Dividing through by c2 gives. a2 c2 + b2 c2 = c2 c2. This can be simplified to: ( a c )2 + ( b c )2 = 1. What does n equal in math, In mathematics, the logarithm is the inverse function to exponentiation.That means that the logarithm of a number x to the base b is the exponent to which b must be raised to produce x.For example, since 1000 = 10 3, the logarithm base 10 of 1000 is 3, or log 10 (1000) = 3.The logarithm of x to base b is denoted as log b (x), or without parentheses, …, Well, the factorial of a non-negative integer n, denoted by n!, is the product of all the positive integers from 1 to n. For instance, the factorial of 4 is written as 4! and is calculated as 4 x 3 x 2 x 1 = 24. Similarly, 5! is equal to 5 x 4 x 3 x 2 x 1 = 120., Mar 23, 2012. Symbol. In summary, the three bar equal sign, ≡, is used in mathematics for different purposes. In geometry, it can represent congruence between two triangles. In algebra, it can be used for definitions or identities, such as the formula for density, p ≡ m/v. It can also be used for equivalent propositions in logical statements., Sep 25, 2022 · (mathematics) Approximately equal to. Eric Weisstein, Wolfram Mathworld, "Approximately Equal": If two quantities A and B are approximately equal, this is written A ≈ B. Synonyms: ~=, ≅ Homeomorphic to. Synonyms . ≒; Related terms = (equal to) ≠ (not equal to) ≅ (approximately equal to; congruent to; isomorphic to) , Example: 4! is shorthand for 4 × 3 × 2 × 1. The factorial function (symbol: !) says to multiply all whole numbers from our chosen number down to 1. Examples: 4! = 4 × 3 × 2 × 1 = 24. 7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040. 1! = 1. We usually say (for example) 4! as "4 factorial", but some people say "4 shriek" or "4 bang". , In math, the letters R, Q, N, and Z refer, respectively, to real numbers, rational numbers, natural numbers, and integers., We would like to show you a description here but the site won’t allow us., Mathematics. Approximation theory is a branch of mathematics, a quantitative part of functional analysis. Diophantine approximation deals with approximations of real numbers by rational numbers . Approximation usually occurs when an exact form or an exact numerical number is unknown or difficult to obtain., 12 years ago. If you've learned about Euler's formula, you'd know that e^ (ix) = cos (x) + i*sin (x) (Khan has videos about this formula). Say we want to find a value for x which makes this equal to i, so want cos (x) = 0 and sin (x) = 1. x = pi/2 is a value which satisfies this. So e^ (i*pi/2) = i. So now that we have this seemingly more ..., The identity function in math is one in which the output of the function is equal to its input, often written as f(x) = x for all x. The input-output pair made up of x and y are always identical, thus the name identity function., The term equality, in mathematics, refers to the relationship between two quantities, or expressions, that says that they have the same value or represent the same object. The symbol used to denote this is the equals sign (=). For example: 2 + 2 = 4. (x - 2) 2 = x 2 - 4x + 4. In both equations above, both quantities and expressions on the left ..., Example: 4! is shorthand for 4 × 3 × 2 × 1. The factorial function (symbol: !) says to multiply all whole numbers from our chosen number down to 1. Examples: 4! = 4 × 3 × 2 × 1 = 24. 7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040. 1! = 1. We usually say (for example) 4! as "4 factorial", but some people say "4 shriek" or "4 bang"., Example: Tank Levels Rising/Falling. The tank has 30,000 liters, and 1,000 liters are taken out every day. What was the amount of water in the tank 3 days ago?. We know the amount of water in the tank changes by −1,000 every day, and we need to subtract that 3 times (to go back 3 days), so the change is:. −3 × −1,000 = +3,000, Jan 6, 2023 · 1. In combinatorics, the “n!” symbol is used to calculate the number of possible arrangements of a set of items. For example, suppose you have a set of three letters: A, B, and C. To find the number of possible arrangements of these letters, you can use the “n!” symbol like this: 3! = 3 x 2 x 1 = 6. This means there are 6 possible ... , “A is equal to B, B is not equal to A, is less than A, they are logically contradictory” My guess is the translator(s) wanted to skip the part about B being less than A, and either they used a nonstandard symbol or the typesetter could not find a “≠”., For finite x and finite nonzero y, this is the difference x - n*y , where n ... float('nan') are not considered to equal to any other numeric value, including ..., Cardinality. n (A) = n, n is the number of elements in the set. n (A) = ∞ as the number of elements are uncountable. union. The union of two finite sets is finite. The union of two infinite sets is infinite. Power set. The power set of a finite set is also finite. The power set of an infinite set is infinite. , The equal sign in math is a sign that shows the equality between two expressions. In simple words, the meaning of equal sign is that there is an equality between the values, or expressions written on both the sides. The symbol that represents the equal sign is given by two small parallel horizontal lines. The symbol “ = ” represents that ..., In LaTeX it is coded as \cong. ∼ ∼ is a similarity in geometry and can be used to show that two things are asymptotically equal (they become more equal as you increase a variable like n n ). This is a weaker statement than the other two. In LaTeX it is coded as \sim. ≃ ≃ is more of a grab-bag of meaning., What does Ñ mean in math? Answer: It means the median of a series of data values representing a variable like temperature, pressure, volume, marks, mass, ..., In mathematics, the logarithm is the inverse function to exponentiation.That means that the logarithm of a number x to the base b is the exponent to which b must be raised to produce x.For example, since 1000 = 10 3, the logarithm base 10 of 1000 is 3, or log 10 (1000) = 3.The logarithm of x to base b is denoted as log b (x), or without parentheses, …, "Area I did something length times width?" Children will correctly realize that doesn't make sense, and they may come away from that encounter also sensing that ..., Apr 28, 2022 · What is the smallest integer n such that the complete graph km has atleast 500 edges? We know that the complete graph has n(n-1)/2 edges and we want to find out n such that n(n-1)/2 greater or equal to 500. Thus n(n-1) greater or equal to 1000. Taking n=33, we have, n(n-1)=33(33-1)=1056&gt;1000. Therefore required smallest integer is n=33. , In math, the letters R, Q, N, and Z refer, respectively, to real numbers, rational numbers, natural numbers, and integers., Imperial units. 0.224809 lbf. The newton (symbol: N) is the unit of force in the International System of Units (SI). It is defined as , the force which gives a mass of 1 kilogram an acceleration of 1 metre per second per second. It is named after Isaac Newton in recognition of his work on classical mechanics, specifically his second law of motion . , The mathematical formula for gravity on Earth is based on the Gravitational Constant of 6.6726 x 10^-11 m^3 kg^-1 s^-2 since Earth is much larger than any other object., Equality (mathematics) In mathematics, equality is a relationship between two quantities or, more generally two mathematical expressions, asserting that the quantities have the same value, or that the expressions represent the same mathematical object. The equality between A and B is written A = B, and pronounced " A equals B ". [1], , Inverse hyperbolic functions. If x = sinh y, then y = sinh-1 a is called the inverse hyperbolic sine of x. Similarly we define the other inverse hyperbolic functions. The inverse hyperbolic functions are multiple-valued and as in …, D. In geometry, lower-case delta (δ) may be representative of an angle in any geometric shape. A1. The correct answer is option A., Which is “In trigonometry, lower-case delta (δ) represents the area of a triangle.”. This is because; lower-case delta (δ) does not represent the area of a triangle in trigonometry., The term equality, in mathematics, refers to the relationship between two quantities, or expressions, that says that they have the same value or represent the same object. The symbol used to denote this is the equals sign (=). For example: 2 + 2 = 4. (x - 2) 2 = x 2 - 4x + 4. In both equations above, both quantities and expressions on the left ..., Don't assume that every sequence and series will start with an index of n = 1. When a sequence has no fixed numerical upper index, but instead "goes to infinity" ("infinity" being denoted by that sideways-eight symbol, ∞ ), the sequence is said to be an "infinite" sequence. Infinite sequences customarily have finite lower indices., Algebra. Equation Solver. Step 1: Enter the Equation you want to solve into the editor. The equation calculator allows you to take a simple or complex equation and solve by best method possible. Step 2: Click the blue arrow to submit and see the result! The equation solver allows you to enter your problem and solve the equation to see the result.