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A) Solve x² + 4x - 8 = 0 by completing the square​
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A) Solve x² + 4x - 8 = 0 by completing the square​

User Wesc
by
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1 Answer

3 votes

Answer:

x = 2 + 2i, x = 2 - 2i

Explanation:


{x}^(2) - 4x + 8 = 0 \\ \\ {x}^(2) - 4x + 4 + 4= 0 \\ \\ {x}^(2) - 4x + {(2)}^(2) = - 4 \\ \\ {(x - 2)}^(2) = - 4 \\ \\ x - 2 = \pm √( - 4) \\ \\ x - 2 = 2i \\ \\ x = 2 \pm 2i \\ \\ x = 2 + 2i, \: \: \: x = 2 - 2i

User Chetan Garg
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