Complete the square to solve the equation below. Check all that apply. x² - 10x - 5=9
2 answers:
Answer:
A and D
Step-by-step explanation:
Given
x² - 10x - 5 = 9 ( add 5 to both sides )
x² - 10x = 14
To compete the square
add (half the coefficient of the x- term )² to both sides
x² + 2(- 5)x + 25 = 14 + 25
(x - 5)² = 39 ← take the square root of both sides
x - 5 = ± ( add 5 to both sides )
x = 5 ±
Hence
x = 5 - → A
x = 5 + → D
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