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Alchen [17]
3 years ago
10

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

Mathematics
1 answer:
Natali5045456 [20]3 years ago
3 0

Answer:

m = - 8 ± 6\sqrt{2}

Step-by-step 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 = ± \sqrt{72} = ± \sqrt{36(2)} = ± 6\sqrt{2}

Subtract 8 from both sides

m = - 8 ± 6\sqrt{2}

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