Question

Complete the square to solve the equation below.
Check all that apply.
x² - 10x - 5=9

Answer 1

A. and D

Explanation:

apex

Answer 2

A and D

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 = ±
`√(39)` ( add 5 to both sides )

x = 5 ±
`√(39)`

Hence

x = 5 -
`√(39)` → A

x = 5 +
`√(39)` → D