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Yuliya22 [10]
3 years ago
7

Solve the equation 2x^2+16x-11=-7 by completing the square. Show your work Please.

Mathematics
1 answer:
Gnesinka [82]3 years ago
5 0
  • <em>Answer:</em>

<em>x₁ = - 4 + 3√2</em>

<em>x₂ = - 4 - 3√2</em>

  • <em>Step-by-step explanation:</em>

<em>Hi !</em>

<em>2x² + 16x - 11 = - 7</em>

<em>2x² + 16x - 11 + 7 = 0 </em>

<em>2x² + 16x - 4 = 0 | : 2</em>

<em>x² + 8x - 2 = 0</em>

<em>a = 1 ; b = 8 ; c = - 2</em>

<em>x = (- b ± √b² - 4ac)/2a </em>

<em>x = (-8 ± √8² - 4×1×-2)/2×1</em>

<em>x = 2(-4 ± √3√2)/2</em>

<em>x = - 4 ± 3√2</em>

<em>x₁ = - 4 + 3√2</em>

<em>x₂ = - 4 - 3√2</em>

<em>Good luck !</em>

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