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Zeroes of a Polynomial

Solve : 5m2...

Question

Solve : $5 m^{2} - 22 m - 15 = 0$

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Solution

$5 m^{2} - 22 m - 15 = 0$
$5 m^{2} - 25 m + 3 m - 15 = 0$
$5 m (m - 5) + 3 (m - 5) = 0$
$(m - 5) (5 m + 3) = 0$
$(m - 5) = 0, 5 m + 3 = 0$
$m = 5, 5 m = - 3$
$m = - 3 / 5$
$∴ m = 5, m = - 3 / 5$

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