Question

Solve x2 - 16x + 60 = -12 by completing the steps. First, subtract 60 from each side of the equation. Next, add 8 ⇒ 64 to each side of the equation to complete the square. Now, write x² - 16x + 64 = -8 as ✔ (x - 8)² = -8 Take the square root of both sides to get the solutions

Answer 1

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