Question

Solve the equation using the method of completing the square.

Answer 1

D) x = ± 2√5 - 4

Explanation:

2x² + 16x - 8 = 0

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Answer 2

D

Explanation:

Given

2x² + 16x - 8 = 0 ( divide through by 2 )

x² + 8x - 4 = 0 ( add 4 to both sides )

x² + 8x = 4

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(4)x + 16 = 4 + 16

(x + 4)² = 20 ( take the square root of both sides )

x + 4 = ±
`√(20)` = ±
`√(4(5))` = ± 2
`√(5)` ( subtract 4 from both sides )

x = - 4 ± 2
`√(5)` → D