Using the quadratic formula, solve the equation $9 x^{2} + 7 x - 2 = 0$ .

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Solution

$9 x^{2} + 7 x - 2 = 0$
$\Rightarrow x = \frac{- 7 \pm \sqrt{49 + 72}}{18} = \frac{- 7 \pm \sqrt{121}}{18}$
$= \frac{- 7 \pm 11}{18} = \frac{4}{18}, \frac{- 18}{18}$
$= \frac{2}{9}, - 1$
$∴ x = \frac{2}{9}, - 1$

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