Question

Solve each equation by completing the square
6) m² + 16m – 8 = 0

Answer 1

m = - 8 ± 6
`√(2)`

Explanation:

Given

m² + 16m - 8 = 0 ( add 8 to both sides )

m² + 16m = 8

To complete the square

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

m² + 2(8)m + 64 = 8 + 64

(m + 8)² = 72 ( take the square root of both sides )

m + 8 = ±
`√(72)` = ±
`√(36(2))` = ± 6
`√(2)`

Subtract 8 from both sides

m = - 8 ± 6
`√(2)`