Find the roots of the following quadratic equation : $2 / 5 a^{2} - a - 3 / 5 = 0$

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Solution

$\frac{2}{5} a^{2} - a - \frac{3}{5} = 0$

$2 a^{2} - 5 a - 3 = 0$

$2 a^{2} - 6 a + a - 3 = 0$

$2 a (a - 3) + 1 (a - 3) = 0$

$(a - 3) (2 a + 1) = 0$

$a = 3, - \frac{1}{2}$

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