Find roots of the equation : $7 x - 6 x^{2} - 20$ ?

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Solution

$7 x - 6 x^{2} - 20 = 0$

$- 6 x^{2} + 7 x - 20 = 0$

$x_{1, 2} = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}$

$x = \frac{- 7 \pm \sqrt{7^{2} - 4 (- 6) (- 20)}}{2 (- 6)}$

$x = \frac{7}{12} \mp i \frac{\sqrt{431}}{12}$

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