Question

Please help me please! I’m stuck, and I can’t figure this out. Please include the form in your answer! No phony answers pls!

Answer 1

Answer:

x ≈ - 6.74, 0.74

Step-by-step explanation:

x² + 6x - 5 = 0 ( add 5 to both sides )

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

(x + 3)² = 14 ( take square root of both sides )

x + 3 = ± $\sqrt{14}$ ( subtract 3 from both sides )

x = - 3 ± $\sqrt{14}$

Then

x = - 3 - $\sqrt{14}$ ≈ - 6.74 ( to the nearest hundredth )

x = - 3 + $\sqrt{14}$ ≈ 0.74 ( to the nearest hundredth )