Solve the equation using the quadratic formula.
-$$5 x ^ { 2 } = - 12 x - 1$$
A) $\left\{ \frac { - 6 \pm \sqrt { 41 } } { 5 } \right\}$
B) $\left\{ \frac { - 6 \pm \sqrt { 31 } } { 10 } \right\}$
C) $\left\{ \frac { - 12 \pm \sqrt { 31 } } { 5 } \right\}$
D) $\left\{ \frac { - 6 \pm \sqrt { 31 } } { 5 } \right\}$

Question

Quizplus · Accepted Answer

The equation can be rewritten as $5x^2 + 12x + 1 = 0$. Using the quadratic formula $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$, where $a = 5$, $b = 12$, and $c = 1$, we find the solutions are $\frac{-12 \pm \sqrt{144 - 20}}{10} = \frac{-12 \pm \sqrt{124}}{10} = \frac{-12 \pm \sqrt{31}}{5}$.

Solve the Equation Using the Quadratic Formula 5x2=−12x−15 x ^ { 2 } = - 12 x - 15x2=−12x−1

Solve the Equation Using the Quadratic Formula $5 x ^ { 2 } = - 12 x - 1$