Question

Solve x2 + 32x = –255 by completing the square.

Question 8 options:

x = –17 and x = –15


x = –17 and x = 15


x = 15


No Real Solutions

Answer 1

-15, -17

Explanation:

x^2 + 32x = –255 move the -255 to the left

x^2 + 32x +255=0

What two number when multiplied equal 255? Those same two numbers when added make 32. 17*15 make 255 and added is 32

(x+15)(x+17) For x+15=0 move the 15 to the other side. x= -15. Same with x+17=0 is x= -17

x= -15, -17