Solve.
-$$7 x ^ { 2 } = - 12 x - 2$$
A) $\frac { - 6 \pm \sqrt { 2 } } { 7 }$
B) $\frac { - 6 \pm \sqrt { 22 } } { 7 }$
C) $\frac { - 6 \pm \sqrt { 22 } } { 14 }$
D) $\frac { - 12 \pm \sqrt { 22 } } { 7 }$

Question

Quizplus · Accepted Answer

To solve the quadratic equation $7x^2 = -12x - 2$, first bring all terms to one side to get $7x^2 + 12x + 2 = 0$. Then, use the quadratic formula $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$, where $a = 7$, $b = 12$, and $c = 2$. Plugging these values in gives $x = \frac{-12 \pm \sqrt{(12)^2 - 4(7)(2)}}{2(7)} = \frac{-12 \pm \sqrt{144 - 56}}{14} = \frac{-12 \pm \sqrt{88}}{14} = \frac{-12 \pm \sqrt{22 \cdot 4}}{14} = \frac{-12 \pm 2\sqrt{22}}{14} = \frac{-6 \pm \sqrt{22}}{7}$.

Solve - 7x2=−12x−27 x ^ { 2 } = - 12 x - 27x2=−12x−2

Solve
- $7 x ^ { 2 } = - 12 x - 2$