Answer:
Step-by-step explanation:
Given  x^2 - 16x + 60 = -12
Using the completing the square method to find x;
subtract 60 from both sides
x2 - 16x + 60-60 = -12-60
x2 - 16x  = -72
Add square of the half of the coefficient of x to both sides
x2 - 16x + (1/2(-16))²  = -72 +  (1/2(-16))²
x^2 - 16x +64 = -72+64
(x-8)² = -8
Take the square root of both sides
√(x-8)² = √-8
x - 8 = ±√8i
x =  ±√8i+8
x =  ±2√2i+8
