X^2-4x+4=9 solve the equation using square roots

Answer: X=5 or X=-1

Step-by-step explanation:

Use the method complete the square.

1. Subtract 4 from both sides.

X^2-4x+4-4=9-4

Find what value added to both sides of the equation will make the equation on the left a perfect square trinomial.

(B/2) ^2

-4/2=-2 (-2) ^2 = 4

2. Add 4 to both sides.

X^2-4x + 4 = 5+4

3. Factor

(x-2) ^2=9

Solve for X

x-2 = + or - 3

x=5 or x=-1