Solve $15 x^{2} + 60 x - 44 = 0$

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Solution

$\begin{matrix} 15 x^{2} + 60 x - 44 = 0 b y q u a d r a t i c F o r m u l a x = \frac{- 60 \pm \sqrt{{(60)}^{2} - 4 \times 15 x - 44}}{2 \times 15} = \frac{- 60 \pm \sqrt{3600 + 2640}}{30} = \frac{- 60 \pm \sqrt{6240}}{30} = \frac{- 60 \pm \sqrt{64 \times 195}}{30} = \frac{- 60 \pm 8 \sqrt{195}}{30} = \frac{- 30 \pm 4 \sqrt{195}}{15} \end{matrix}$

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