Which of the following is a solution of x2 − 10x = −36? (6 points)
1 answer:
Answer:
D
Step-by-step explanation:
Given
x² - 10x = - 36
Solve using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 5)x + 25 = - 36 + 25
(x - 5)² = - 11 ( take the square root of both sides )
x - 5 = ± ( add 5 to both sides )
x = 5 ± i
Thus
x = 5 - i or x = 5 + i
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