Solve the equation in the real number system.
-$$2 x ^ { 4 } - 15 x ^ { 3 } + 60 x ^ { 2 } - 115 x + 78 = 0$$
A) $\left\{ - 2 , \frac { 3 } { 2 } \right\}$
B) $\left\{ 2 , - \frac { 3 } { 2 } \right\}$
C) $\left\{ 2 , \frac { 3 } { 2 } \right\}$
D) $\left\{ - 2 , - \frac { 3 } { 2 } \right\}$

Question

Quizplus · Accepted Answer

The given polynomial can be factored as $(x-2)^2(x-\frac{3}{2})^2 = 0$, which has roots $x = 2$ and $x = \frac{3}{2}$.

Solve the Equation in the Real Number System 2x4−15x3+60x2−115x+78=02 x ^ { 4 } - 15 x ^ { 3 } + 60 x ^ { 2 } - 115 x + 78 = 02x4−15x3+60x2−115x+78=0

Solve the Equation in the Real Number System $2 x ^ { 4 } - 15 x ^ { 3 } + 60 x ^ { 2 } - 115 x + 78 = 0$