Question

Solve the equation by completeing the square method 2x²+16x=10

Answer 1

Answer:

${x}^{2} + 8x \: = 5 \\ {x }^{2} + 8x - 5 = 0 \\ {x}^{2} + 2(x)(4) + {4}^{2} - {4}^{2} - 5 = 0\\ ({x + 4})^{2} - 21 = 0\\ ( {x + 4 + \sqrt{21)} } (x + 4 - \sqrt{21} ) = 0\\ x = \sqrt{21} - 4 \: \: \: and \: - ( \sqrt{21} + 4)$

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