Solve the following quadratic equation:x^2 = 18x - 77 - Vidyadip

Question

Solve the following quadratic equation:$x^2 = 18x - 77$

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Answer

$x^2 = 18x - 77$
$\Rightarrow x^2 - 18x + 77 = 0$
$\Rightarrow x^2 - 11x - 7x + 77 = 0$
$\Rightarrow x(x - 11) - 7(x - 11) = 0$
$\Rightarrow (x - 11)(x - 7) = 0$
$\Rightarrow x - 11 = 0$ $\text{or}$ $x - 7 = 0$
$\Rightarrow x = 11$ $\text{or}$ $x = 7$

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