Question

Elnaz rewrote the equation x² - 6x - 18 = 0 so that she can solve by completing the square. Which equation did she write?

A. (x-3)² = -9
B. (x-3)² = 18
C. (x-3)² = 27
D. (x-3)² = 54

Answer 1

(x-3)²=27

Explanation:

x²+6x-18=0

add 18 to both sides of the equation

To complete the square add 3² to both sides and factor what is on the left side. You will be getting

(x-3)² = 27 is the answer to this problem

Answer 2

C

Explanation:

(x-3)(x-3)=27

x^2-3x-3x+9=27

x^2-6x+9=27

-27. -27

x^2-6x-18=0