Solve the quadratic equation $x^{2} - 49 = 0$ .

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Solution

Given equation is $x^{2} - 49 = 0$
$\Rightarrow {(x)}^{2} - {(7)}^{2} = 0$
$\Rightarrow (x + 7) (x - 7) = 0$
$\Rightarrow x + 7 = 0$ or $x - 7 = 0$
$\Rightarrow x = - 7$ or $x = 7$
Hence, $x = - 7$ and $x = 7$ are the roots of the given quadratic equation.

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