3 years ago

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

Mathematics

1 answer:

Dennis_Churaev [7]3 years ago

4 0

Answer:

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

Step-by-step explanation:

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

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4 years ago

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Answer:

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