Question

Show that x = −3 is a solution of x² + 6x + 9 = 0.

Answer 1

Given that the equation  x² + 6x + 9 = 0.

`x^2 + 3x + 3x + 9 = 0`

     x (x+3) + 3 (x+3) = 0

            (x + 3) (x+3) = 0

                    (x + 3)² = 0

Square root both side, we get

(x+3) = 0

       x = -3

Therefore, x = -3 is the solution of given equation.

Hence, proved.