Solve the quadratic equation $x^{2} - 81 = 0$ .

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Solution

Given equation is $x^{2} - 81 = 0$
$\Rightarrow {(x)}^{2} - {(9)}^{2} = 0$
$\Rightarrow (x + 9) (x - 9) = 0$
$\Rightarrow x + 9 = 0$ or $x - 9 = 0$
$\Rightarrow x = - 9$ or $x = 9$
Hence, $x = - 9$ , $x = 9$ are the roots of the given quadratic equation.

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