Solve.
-$\frac { 9 } { x - 7 } + \frac { x } { x + 7 } = \frac { 72 } { x ^ { 2 } - 49 }$
A) $- 1 - 2 \mathrm { i } \sqrt { 2 } , - 1 + 2 \mathrm { i } \sqrt { 2 }$
B) $- 1 - \sqrt { 10 } , - 1 + \sqrt { 10 }$
C) $1 - 2 i \sqrt { 2 } , 1 + 2 i \sqrt { 2 }$
D) $1 - \sqrt { 10 } , 1 + \sqrt { 10 }$

Question

Quizplus · Accepted Answer

The equation can be simplified by noticing that $x^2 - 49$ is a common denominator. Multiplying each term by this denominator to clear the fractions gives a quadratic equation in $x$, which when solved yields the roots $-1 - \sqrt{10}$ and $-1 + \sqrt{10}$.

Solve - 9x−7+xx+7=72x2−49\frac { 9 } { x - 7 } + \frac { x } { x + 7 } = \frac { 72 } { x ^ { 2 } - 49 }x−79​+x+7x​=x2−4972​

Solve
- $\frac { 9 } { x - 7 } + \frac { x } { x + 7 } = \frac { 72 } { x ^ { 2 } - 49 }$