Find solution of t :
$t^{2} + 22 t + 85 = 0$

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Solution

given, $t^{2} + 22 t + 85 = 0$

$\Rightarrow$ $t^{2} + 17 t + 5 t + 85 = 0$

$\Rightarrow$ $t (t + 17) + 5 (t + 17) = 0$

$\Rightarrow$ $(t + 17) (t + 5) = 0$

$\Rightarrow$ $t + 17 = 0$ and $t + 5 = 0$

$∴$ $t = - 17$ and $t = - 5$

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