Answer:
x = 4, x = 8
Step-by-step explanation:
Given
x² - 12x + 32 = 0 ( subtract 32 from both sides )
x² - 12x = - 32
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 6)x + 36 = - 32 + 36
(x - 6)² = 4 ( take the square root of both sides )
x - 6 = ± [tex]\sqrt{4}[/tex] = ± 2 ( add 6 to both sides )
x = 6 ± 2
Thus x = 6 - 2 = 4 or x = 6 + 2 = 8
