Question

Solve the following for x:√

2x

2 + 7x + 5√

2 = 0​

Answer 1

$2 {x}^{2} + 7x + 5 \sqrt{2} = 0 \\ d = {b}^{2} - 4 ac = {(7)}^{2} - 4 \times 2 \times 5 \sqrt{2} \\ \: \: \: = 49 - 40 \sqrt{2} \\ \\ x = \frac{ - b + \sqrt{d} }{2a} \: \: \: \frac{ - b - \sqrt{d} }{2a} \\ \: \: \: = \frac{ - 7 + \sqrt{49 - 40 \sqrt{2} } }{4} \: \: \: \frac{ - 7 - \sqrt{49 - 40 \sqrt{2} } }{4}$

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