# Introduction of Quadratic Equation

We will discuss about the introduction of quadratic equation.

A polynomial of second degree is generally called a quadratic polynomial.

If f(x) is a quadratic polynomial, then f(x) = 0 is called a quadratic equation.

An equation in one unknown quantity in the form ax$$^{2}$$ + bx + c = 0 is called quadratic equation.

A quadratic equation is an equation of the second degree.

The general form of a quadratic equation is ax$$^{2}$$ + bx + c = 0 where a, b, c are real numbers (constants) and a ≠ 0, while b and c may be zero.

Here, x is the variable, a is called the coefficient of x$$^{2}$$, b the coefficient of x and c the constant (or absolute) term.

The values of x which satisfy the equation are called the roots of the quadratic equation.

Examples of quadratic equation:

(i) 5x$$^{2}$$ + 3x + 2 = 0 is an quadratic equation.

Here, a = the coefficient of x$$^{2}$$ = 5,

b = coefficient of x = 3 and

c = constant = 2

(ii) 2m$$^{2}$$ - 5 = 0 is an quadratic equation.

Here, a = the coefficient of m$$^{2}$$ = 2,

b = coefficient of m = 0 and

c = constant = -5

(iii) (x - 2)(x - 1) = 0 is an quadratic equation.

(x - 2)(x - 1) = 0

⇒ x$$^{2}$$ - 3x + 2 = 0

Here, a = the coefficient of x$$^{2}$$ = 1,

b = coefficient of x = -3 and

c = constant = 2

(iv) x$$^{2}$$ = 1 is an quadratic equation.

x$$^{2}$$ = 1

⇒ x$$^{2}$$ - 1 = 0

Here, a = the coefficient of x$$^{2}$$ = 1,

b = coefficient of x = 0 and

c = constant = -1

(v) p$$^{2}$$ - 4p + 4 = 0 is an quadratic equation.

Here, a = the coefficient of p$$^{2}$$ = 1,

b = coefficient of p = -4 and

c = constant = 4

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

 Share this page: What’s this?

## Recent Articles

1. ### Tangrams Math | Traditional Chinese Geometrical Puzzle | Triangles

Apr 17, 24 01:53 PM

Tangram is a traditional Chinese geometrical puzzle with 7 pieces (1 parallelogram, 1 square and 5 triangles) that can be arranged to match any particular design. In the given figure, it consists of o…

Read More

2. ### Time Duration |How to Calculate the Time Duration (in Hours & Minutes)

Apr 17, 24 01:32 PM

We will learn how to calculate the time duration in minutes and in hours. Time Duration (in minutes) Ron and Clara play badminton every evening. Yesterday, their game started at 5 : 15 p.m.

Read More

3. ### Worksheet on Third Grade Geometrical Shapes | Questions on Geometry

Apr 16, 24 02:00 AM

Practice the math worksheet on third grade geometrical shapes. The questions will help the students to get prepared for the third grade geometry test. 1. Name the types of surfaces that you know. 2. W…

Read More

4. ### 4th Grade Mental Math on Factors and Multiples |Worksheet with Answers

Apr 16, 24 01:15 AM

In 4th grade mental math on factors and multiples students can practice different questions on prime numbers, properties of prime numbers, factors, properties of factors, even numbers, odd numbers, pr…

Read More

5. ### Worksheet on Factors and Multiples | Find the Missing Factors | Answer

Apr 15, 24 11:30 PM

Practice the questions given in the worksheet on factors and multiples. 1. Find out the even numbers. 27, 36, 48, 125, 360, 453, 518, 423, 54, 58, 917, 186, 423, 928, 358 2. Find out the odd numbers.

Read More