How do we solve quadratic equations by taking square roots ?

Extra Information:

If B²-4AC = perfect square then two roots are rational.

If B²-4AC =not perfect square then it will become rational.

For Example :

Y= X²+6X+8

Substitute for B²-4AC : 6²- 4(1)(8) = 4 --> Rational

Solving Quadratic Equations :

Example :   X²+6=15

                  -15  -15

                 -----------------

               X²-9=0 -->  ( X-3) (X+3)  --> X = 3,-3

What To Do ?

Step 1 : Subtract so it becomes a zero .

Step 2 : Factor my equation that I got after subtracting

Step 3 : Do the Zero Product Property

Step 4 : Check if you want to be sure !

 

***FABULOUS! ***