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

Mathematics

2 answers:

telo118 [61]3 years ago

6 0

Answer:

A. and D

Step-by-step explanation:

apex

Kaylis [27]3 years ago

4 0

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 = ± $\sqrt{39}$ ( add 5 to both sides )

x = 5 ± $\sqrt{39}$

Hence

x = 5 - $\sqrt{39}$ → A

x = 5 + $\sqrt{39}$ → D

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