Solve.
-$2 + \frac { 5 } { 4 x - 1 } = - \frac { 2 } { ( 4 x - 1 ) ^ { 2 } }$
A) $- \frac { 1 } { 4 } , \frac { 1 } { 8 }$
B) $- \frac { 1 } { 4 } , - \frac { 1 } { 8 }$
C) $- 2 , - \frac { 1 } { 2 }$
D) $- \frac { 1 } { 4 } , 0$

Question

Quizplus · Accepted Answer

To solve the equation $2 + \frac { 5 } { 4 x - 1 } = - \frac { 2 } { ( 4 x - 1 ) ^ { 2 } }$, we first find a common denominator, which is $(4x - 1)^2$. Multiplying both sides by this denominator eliminates the fractions, leading to a quadratic equation in terms of $4x - 1$. Solving this quadratic equation yields the solutions for $4x - 1$, and subsequently, the values of $x$ can be found. The correct solutions are $x = -\frac{1}{4}$ and $x = \frac{1}{8}$, which corresponds to choice A.

Solve - 2+54x−1=−2(4x−1)22 + \frac { 5 } { 4 x - 1 } = - \frac { 2 } { ( 4 x - 1 ) ^ { 2 } }2+4x−15​=−(4x−1)22​

Solve
- $2 + \frac { 5 } { 4 x - 1 } = - \frac { 2 } { ( 4 x - 1 ) ^ { 2 } }$