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Quadratic Formula

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Question

Find the roots of the quadratic equation $2 x^{2} + 9 x + 10 = 0$

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Solution

Given, $2 x^{2} + 9 x + 10 = 0$

$2 x^{2} + 4 x + 5 x + 10 = 0$

$2 x (x + 2) + 5 (x + 5) = 0$

$(x + 2) (2 x + 5) = 0$

$x = - 2, \frac{- 5}{2}$

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