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Answer:
x = - 13, x = - 3
Step-by-step explanation:
Given
x² + 16x = - 39
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(8)x + 64 = - 39 + 64
(x + 8)² = 25 ( take the square root of both sides )
x + 8 = ± = ± 5 ( subtract 8 from both sides )
x = - 8 ± 5, thus
x = - 8 - 5 = - 13 or x = - 8 + 5 = - 3