Solve: $\frac { x } { x + 8 } - \frac { 2 } { x - 2 } = \frac { 16 } { x ^ { 2 } + 6 x - 16 }$
A) $\{ - 4,8 \}$
B) {18}
C) {6}
D) no solution

Name: Solve: $\frac { x } { x + 8 } - \frac { 2 } { x - 2 } = \frac { 16 } { x ^ { 2 } + 6 x - 16 }$ A) $\{ - 4,8 \}$ B) {18} C) {6} D) no solution
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Question

Quizplus · Accepted Answer

To solve the equation, first find a common denominator, which is $x^2 + 6x - 16$, and then solve for $x$. The solutions are $x = -4$ and $x = 8$, making choice A correct.

Solve xx+8−2x−2=16x2+6x−16\frac { x } { x + 8 } - \frac { 2 } { x - 2 } = \frac { 16 } { x ^ { 2 } + 6 x - 16 }x+8x​−x−22​=x2+6x−1616​

Solve $\frac { x } { x + 8 } - \frac { 2 } { x - 2 } = \frac { 16 } { x ^ { 2 } + 6 x - 16 }$