Solve.
-$$6 x ^ { 2 } = - 16 x - 1$$
A) $\frac { - 8 \pm \sqrt { 70 } } { 6 }$
B) $\frac { - 16 \pm \sqrt { 58 } } { 6 }$
C) $\frac { - 8 \pm \sqrt { 58 } } { 6 }$
D) $\frac { - 8 \pm \sqrt { 58 } } { 12 }$

Question

Quizplus · Accepted Answer

We start by rearranging the equation to get all the terms on one side: $$6x^2 + 16x + 1 = 0$$

Next, we can use the quadratic formula to solve for $x$:

$$x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}$$

In this case, we have $a=6$, $b=16$, and $c=1$. Substituting these values into the formula, we get:

$$x = \frac{-16\pm\sqrt{16^2-4(6)(1)}}{2(6)} = \frac{-8\pm\sqrt{58}}{6}$$

Therefore, the answer is choice C, $\frac{-8\pm\sqrt{58}}{6}$.

Solve - 6x2=−16x−16 x ^ { 2 } = - 16 x - 16x2=−16x−1

Solve
- $6 x ^ { 2 } = - 16 x - 1$