Answer:
see explanation
Step-by-step explanation:
Given
x² - 6x = - 5
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 3)x + 9 = - 5 + 9 [ part a, c = 9 ]
(x - 3)² = 4 [ part b ]
Take the square root of both sides
x - 3 = ± [tex]\sqrt{4}[/tex] = ± 2 ( add 3 to both sides )
x = 3 ± 2
Thus part c is
x = 3 - 2 = 1
x = 3 + 2 = 5
