Question

factorize:√2x^2+9x+4√2

Answer 1

$\sqrt{2} {x}^{2} + 9x + \sqrt[4]{2}$
$\sqrt{2} {x}^{2} + 8x + x + \sqrt[4]{2}$
$\sqrt{2} x(x + \sqrt[4]{2} ) + 1(x + \sqrt[4]{2} )$
$( \sqrt{2} x + 1)(x + \sqrt[4]{2} )$
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Answer 2

Your Answer :-

The Question is from the Topic Quadratic Equations .

$\boxed{\sqrt{2} x^{2} +9x +4\sqrt{2}=0 }$

Multiplying by root 2

$\boxed{2x^{2} + 9\sqrt{2} x+ 8 = 0}$

$\boxed{2x^{2} + 8\sqrt{2}x +\sqrt{2}x+ 8 = 0}$

$\boxed {2 x( x + 4\sqrt{2} ) + \sqrt{2} ( x + 4\sqrt{2}) = 0}$

$\boxed {(2x + \sqrt{2} ) ( x + 4\sqrt{2}) = 0}$

$\boxed{x = \frac{-\sqrt{2}}{2} }$

$\boxed{ x = -4\sqrt{2} }$

^_^ ^_^

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