Solve.
-$5 x ^ { 4 } - 317 x ^ { 2 } - 192 = 0$
A) $\left\{ - \frac { \sqrt { 15 } } { 5 } , \frac { \sqrt { 15 } } { 5 } , - 8,8 \right\}$
B) $\left\{ - 8,8 , - \frac { \mathrm { i } \sqrt { 15 } } { 5 } , \frac { \mathrm { i } \sqrt { 15 } } { 5 } \right\}$
C) $\left\{ - 8 \mathrm { i } , 8 \mathrm { i } , - \frac { \mathrm { i } \sqrt { 15 } } { 5 } , \frac { \mathrm { i } \sqrt { 15 } } { 5 } \right\}$
D) $\left\{ 8 , \frac { \mathrm { i } \sqrt { 15 } } { 5 } \right\}$

Question

Quizplus · Accepted Answer

The equation is a quadratic in terms of $x^2$. Solving for $x^2$, we get two real solutions, $x^2 = 64$, giving $x = \pm 8$, and two complex solutions, $x^2 = -\frac{192}{5}$, giving $x = \pm \frac{\mathrm{i} \sqrt{15}}{5}$.

Solve - 5x4−317x2−192=05 x ^ { 4 } - 317 x ^ { 2 } - 192 = 05x4−317x2−192=0

Solve
- $5 x ^ { 4 } - 317 x ^ { 2 } - 192 = 0$