Answer:
(x - 5)² = 17
Step-by-step explanation:
Given
0 = - x² + 10x - 8 ( multiply through by - 1 to clear the leading negative )
x² - 10x + 8 = 0 ( subtract 8 from both sides )
x² - 10x = - 8
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 5)x + 25 = - 8 + 25
(x - 5)² = 17
