Solve the equation.
-$$\frac { - 5 x ^ { 2 } - 4 } { x - 4 } = \frac { - 15 x } { x - 4 } + 4$$
A) $\left\{ - \frac { 4 } { 5 } , 3 \right\}$
B) $\left\{ \frac { 4 } { 5 } , - 3 \right\}$
C) $\{ 3 \}$
D) $\left\{ \frac { - 5 \pm \sqrt { 145 } } { 3 } \right\}$

Question

Quizplus · Accepted Answer

First, simplify the equation by multiplying both sides by $x - 4$ to eliminate the denominator, resulting in $-5x^2 - 4 = -15x + 4(x - 4)$. Simplifying further gives a quadratic equation, which when solved yields the roots $-\frac{4}{5}$ and $3$.

Solve the Equation −5x2−4x−4=−15xx−4+4\frac { - 5 x ^ { 2 } - 4 } { x - 4 } = \frac { - 15 x } { x - 4 } + 4x−4−5x2−4​=x−4−15x​+4

Solve the Equation $\frac { - 5 x ^ { 2 } - 4 } { x - 4 } = \frac { - 15 x } { x - 4 } + 4$