Question 1 (ii)

Find the roots of the quadratic equations by using the quadratic formula in the following question $5 x^{2} + 13 x + 8 = 0$ .

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Solution

Given equation is $5 x^{2} + 13 x + 8 = 0$

on comparing wit $a x^{2}$ + bx + c = 0, we get

a = 5, b = 13 and c = 8
by quadratic formula, $x = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}$
$= \frac{- (13) \pm \sqrt{(13)^{2} - 4 (5) (8)}}{2 (5)}$
$= \frac{13 \pm \sqrt{169 - 160}}{10} = \frac{13 \pm \sqrt{9}}{10}$
$= \frac{- 13 \pm 3}{10} = - \frac{10}{10}, - \frac{16}{10} = - 1, - \frac{8}{5}$

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