Choose the one alternative that best completes the statement or answers the question.
Use the quadratic formula to solve the equation. (All solutions are real numbers.)
-$3 x(x+5)=2$

A) $\{1\}$

B) $\left\{-\frac{3}{5}\right\}$

C) $\left\{\frac{15+\sqrt{249}}{6}, \frac{15-\sqrt{249}}{6}\right\}$

D) $\left\{\frac{-15+\sqrt{249}}{6}, \frac{-15-\sqrt{249}}{6}\right\}$

Question

Choose the one alternative that best completes the statement or answers the question.
Use the quadratic formula to solve the equation. (All solutions are real numbers.)
-$3 x(x+5)=2$

A) $\{1\}$

B) $\left\{-\frac{3}{5}\right\}$

C) $\left\{\frac{15+\sqrt{249}}{6}, \frac{15-\sqrt{249}}{6}\right\}$

D) $\left\{\frac{-15+\sqrt{249}}{6}, \frac{-15-\sqrt{249}}{6}\right\}$

Quizplus · Accepted Answer

The equation can be rewritten as $3x^2 + 15x - 2 = 0$. Using the quadratic formula $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$, where $a = 3$, $b = 15$, and $c = -2$, we find the solutions are $\frac{-15 \pm \sqrt{249}}{6}$.

Choose the One Alternative That Best Completes the Statement or Answers