Question

Find the value of the x

Answer 1

hey I have solved it.
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Answer 2

Here's your Answer mate....

By the Splitting middle term method ..

we get..
$\sqrt{2 {x}^{2} } + 7x + 5 \sqrt{2} \\ \\ = \sqrt{2 {x}^{2} } + 2x + 5x + 5 \sqrt{2} \\ \\ = \sqrt{2x} (x + \sqrt{2} ) + 5(x + \sqrt{2)}$
$= ( \sqrt{2x} + 5)(x + \sqrt{2) } = 0$
So the value of x is

$- 5 \sqrt{2} \: and \: - \sqrt{2}$

Hope it Helps!!