Question

$4n {}^{2} - 51n - 13 = 0$
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Answer 1

Step-by-step explanation:

$4 {n}^{2} - 51n - 13 = 0 \\ \\ 4 {n}^{2} - 52n + n - 13 = 0 \\ \\ 4n(n - 13) +1 (n - 13) = 0 \\ \\ (4n + 1)(n - 13) = 0 \\ \\ 4n + 1 = 0 \: \: \: or \: \: \: n - 13 = 0 \\ \\ n = \frac{ - 1}{4} \: \: \: \: or \: \: \: \: n = 13$