**Quadratic Equation**

Contents

__Quadratic Equation__

- Used to find effective resistance of a circuit
- Used in the field of communications
- Used to find the field of architecture
- Used in the field of finance to find demand supply relation
- Used to find the projectile of ball throw or bomb throw
- Used to find speed of train, boat etc

__Convert Statement to Quadratic Equation__

- John : x-5
- Jivanti : 45-x -5 or 40-x

**Numerical 1**: Check if x(x + 1) + 9 = (x + 2) (x – 2) is a quadratic equation

__Solution of a Quadratic Equation by Factorization__

**x =**α

**is a solution of the quadratic equation**

**x =**

**α**

**is a solution of the quadratic equation.**

**Thus if**α & β are solution of the quadratic equation ax2 + bx + c = 0. Then we can write

__Solution of a Quadratic Equation by Completing the Square__

__Nature of Roots__

Since *b*2 – 4*ac *determines whether the quadratic equation *ax*2 + *bx *+ *c *= 0 has real roots or not, *b*2 – 4*ac *is called the **discriminant **of this quadratic equation.

**Also Read :**

### MATHS Revision Notes

Chapter:01 Real Numbers System

Chapter:02 Polynomials

Chapter:03 Pair of Linear Equations in Two Variables

Chapter:04 Quadratic Equation

Chapter:05 Arithemetic Progressions

Chapter:06 Triangles

Chapter:07 Coordinate Geometry

Chapter:08 Introduction to Trignometry

Chapter:09 Some Application Of Trignometry

Chapter:10 Circles

Chapter:11 Constructions

Chapter:12 Area Related to Cirles

Chapter:13 Surface Area Volume

Chapter:14 Stastistics

Chapter:15 Probability