Given, √(2)x+9+x=13 or, (√(2)+1)x=13 9 or, x=4√(2)+1 or, x=4(√(2) 1)2 1 or, x=4(√(2) 1) . ...

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Quadratic Equations

Solve √2x+9+...

Question

Solve
$\sqrt{2} x + 9 + x = 13$

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Solution

Given,
$\sqrt{2} x + 9 + x = 13$
or, $(\sqrt{2} + 1) x = 13 - 9$
or, $x = \frac{4}{\sqrt{2} + 1}$
or, $x = \frac{4 (\sqrt{2} - 1)}{2 - 1}$
or, $x = 4 (\sqrt{2} - 1)$ .

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