Solve for $x : 5 x^{2} = 36 + x^{2}$

x = - 3

+ 3

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x = - 5

+ 3

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x = - 4

+ 3

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None of these

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Solution

The correct option is A $x = - 3$ or $+ 3$
Given, $5 x^{2} = 36 + x^{2}$
$\Rightarrow 4 x^{2} = 36$
$\Rightarrow x^{2} = 9$
$\Rightarrow x = \pm 3$

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