Question

Find the root of the quadratic equation
√2xsquare+7×+5√2=0​

Answer 1

Step-by-step explanation:

here is your answer and once try to solve it yourself

Answer 2

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

Hence, the roots of the given quadratic equation are -5/√2 and -√2

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