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How do you solve this equation by completing the square2x² + 16x - 11 = -7 SHOW YOUR WORK!!!
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How do you solve this equation by completing the square2x² + 16x - 11 = -7
SHOW YOUR WORK!!!

User Hannah Vernon
by
7.4k points

1 Answer

3 votes

Answer:

  • x = -4 ± 3√2

Explanation:

See the steps

  • 2x² + 16x - 11 = -7
  • 2(x² + 8x) = 4
  • x² + 8x = 2
  • x² + 8x + 16 - 16= 2
  • (x² + 8x + 16) = 16 + 2
  • (x + 4)² = 18
  • x + 4 = ± 3√2
  • x = -4 ± 3√2

User LekoArts
by
6.8k points
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