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kramer
1 year ago
14

Solve the equation by completing the square. x²+6x-4=0​

Mathematics
1 answer:
zavuch27 [327]1 year ago
5 0

Answer:

<u>x = √13 - 3</u>

<u>x = -√13 - 3</u>

Step-by-step explanation:

Given :

  • x² + 6x - 4 = 0

Solving :

  • x² + 6x + 9 - 9 - 4 = 0 [Adding and subtracting 9]
  • (x + 3)² - 13 = 0 [Group the square term together]
  • (x + 3)² -13 + 13 = 0 + 13 [Add 13 on both sides]
  • √(x + 3)² = √13 [Taking square root on both sides]
  • x + 3 - 3 = ±√13 - 3 [Subtract 3 from both sides]
  • x = ±√13 - 3

Solutions :

  1. <u>x = √13 - 3</u>
  2. <u>x = -√13 - 3</u>
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