Solve : $4 n^{2} + 5 n - 636 = 0$

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Solution

$4 n^{2} + 5 n - 636 = 0$

$4 n^{2} + 53 n - 48 n - 636 = 0$

$n (4 n + 53) - 12 (4 n + 53) = 0$

$(n - 12) (4 n + 53) = 0$

$n = 12$ or $n = - \frac{53}{4}$

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