amandam79
amandam79 amandam79
  • 02-12-2019
  • Mathematics
contestada

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

Respuesta :

jimrgrant1 jimrgrant1
  • 02-12-2019

Answer:

m = - 8 ± 6[tex]\sqrt{2}[/tex]

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 = ± [tex]\sqrt{72}[/tex] = ± [tex]\sqrt{36(2)}[/tex] = ± 6[tex]\sqrt{2}[/tex]

Subtract 8 from both sides

m = - 8 ± 6[tex]\sqrt{2}[/tex]

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