Question

find the roots of the equation root 2x2+7x+5 root 2 = 0 by factorisation ​

Answer 1

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Answer 2

Answer:

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$\sqrt{2} {x}^{2} + 7x + 5 \sqrt{2} \\ \implies \sqrt{2} {x}^{2} + 2x + 5x+ 5 \sqrt{2} \\ \implies \sqrt{2}x ( x + \sqrt{2} ) + 5(x + \sqrt{2} ) \\ \implies( \sqrt{2}x + 5 )(x + \sqrt{2} ) \\ \implies \boxed {\bold x = \frac{ - 5}{ \sqrt{2} } \: or \: - \sqrt{2} }$