Solve the equation: $11 x^{2} - 21 x - 92 = 0$

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Solution

$11 x^{2} - 21 x - 92 = 0$

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

$x = \frac{- (- 21) + \sqrt{{(- 21)}^{2} - 4 \cdot 11 (- 92)}}{2 \cdot 11} : 4$

$x = \frac{- (- 21) - \sqrt{{(- 21)}^{2} - 4 \cdot 11 (- 92)}}{2 \cdot 11} : - \frac{23}{11}$

$x = 4, x = - \frac{23}{11}$

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