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*^{2} + bx + c = 0, where *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 = 0

Now consider this example* *

*5x*^{2} + 5x +15

Is 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 =8

Is 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