Solve.
-$$\frac { 8 } { y + 5 } - \frac { 2 } { y - 5 } = \frac { 10 } { y ^ { 2 } - 25 }$$
A) 60
B) 10
C) $\sqrt { 31 }$
D) $- 10$

Question

Quizplus · Accepted Answer

The equation can be rewritten using the identity $y^2 - 25 = (y + 5)(y - 5)$. Multiply through by $y^2 - 25$ to clear the denominators, resulting in $8(y - 5) - 2(y + 5) = 10$. Simplifying gives $8y - 40 - 2y - 10 = 10$, which simplifies to $6y - 50 = 10$. Solving for $y$ gives $6y = 60$, so $y = 10$.

Solve - 8y+5−2y−5=10y2−25\frac { 8 } { y + 5 } - \frac { 2 } { y - 5 } = \frac { 10 } { y ^ { 2 } - 25 }y+58​−y−52​=y2−2510​

Solve
- $\frac { 8 } { y + 5 } - \frac { 2 } { y - 5 } = \frac { 10 } { y ^ { 2 } - 25 }$