Iam explaining quadratic equation in most simple way

**"Quadratic Equation**" consist of two terms Quadratic and Equation

Dictionary meaning of Quadratic means "

**Of, relating to, or containing quantities of the second degree."**

So Quadratic means term containing power of two

Equations means

**" The act or process of equating or of being equated"**

Quadratic Equations means

**"An equation in which one or more of the terms is squared but raised to no higher power, having the general form**

*ax*where^{2}+ bx + c = 0,*a, b,*and*c*are constants."**Quad stand for 2 any equation which have highest power of 2 is quadratic equation**

For e.g.

*5x*^{2}+ 6x + 8= 0

*2x*^{2}-8x + 5 = 0Now consider this example

*5x*^{2}+ 5x +15Is it a quadratic equation

Not its not a quadratic equation because it is not equating to any thing.

For a quadratic equation it must be eual to something

for e.g.

*5x*^{2}+ 5x =8Is it a quadratic equation

Yes it is a quadratic equation

**How to solve Quadratic Equation**

Before this we should know why we solve and what will we get after solving this equation

Solving a Quadratic equation means getting the values which will satisfy this equation

and those values which satisfy the equations are known as

**roots.**

For a Quadratic equation there can be only two roots possible for a single quadratic equation

Since quad means two so only two roots are possible for a quadratic equation.

Consider this example

**let**

*y = x*^{2}+ 5x + 6 = 0**we need to solve it or we have to find the roots of this equation.**

roots are those values of x at which y = 0

y = x

^{2}+ 5x + 6=0

=>x

^{2}+ 5x + 6=0

=>x

^{2}+ 3x+2x + 6=0

=> x(x+3) +2(x+3) =0

=> (x+3)(x+2)=0

so roots are x= -3 and -2

if we place these roots in equation in place of x we ger

first take x = -3

then LHS (-3)

^{2}+ 5(-3) + 6

9 -15 +6

-6+6

= 0

LHS = RHS