Question

$\sqrt{2} {x}^{2} + 7 {x}^{2} + 5 \sqrt{2} = 0$
$\sqrt{2} {x}^{2} + \: \: \: + \: \: \: + 5 \sqrt{2} = 0$
$x( \: \: \: ) + \sqrt{2} ( \: \: \: ) = 0$
$( \: \: \: )(x + \sqrt{2} ) = 0$
$x = \: \: \: \: \: or \: x = - \sqrt{2}$
$\: \: \: and \: - \sqrt{2} \: are \: roots \: of \: the \: equation$

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Answer 1

Step-by-step explanation:

√2x²+7x+5√2=0

√2x²+2x+5x+5√2=0

√2x(x+√2)+5(x+√2)=0

(√2x+5)(x+√2)=0

x= -5/√2 ,-√2