Question

Find the roots of the quadratic equation √2x2 + 7x + 5√2 = 0

Answer 1

Answer:

$\sqrt{2} {x}^{2} + 7x + 5 \sqrt{2} = 0 \\ \\ \\ \sqrt{2} {x}^{2} + 2x + 5x + 5 \sqrt{2} = 0 \\ \\ \\ \sqrt{2} x(x + \sqrt{2} ) + 5(x + \sqrt{2} ) = 0 \\ \\ \\ \\( \sqrt{2} x + 5 )( x + \sqrt{2} ) = 0 \\ \\ \\ \\ \sqrt{2} x + 5 = 0 \\ \\ x = \frac{ - 5}{ \sqrt{2} } \\ \\ x + \sqrt{2 } = 0 \\ \\ x = - \sqrt{2}$

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