Solve the equation. $$\frac { 10 } { x - 12 } + \frac { 9 } { x + 12 } = \frac { 126 } { x ^ { 2 } - 144 }$$
A) $- 12$
B) 12
C) 144
D) 6
E) 10

Question

Quizplus · Accepted Answer

The equation can be simplified by recognizing that $x^2 - 144$ is the difference of squares, $(x-12)(x+12)$. Multiplying through by $(x-12)(x+12)$ eliminates the denominators, leading to a simplified equation that can be solved for $x = 6$.

Solve the Equation 10x−12+9x+12=126x2−144\frac { 10 } { x - 12 } + \frac { 9 } { x + 12 } = \frac { 126 } { x ^ { 2 } - 144 }x−1210​+x+129​=x2−144126​

Solve the Equation $\frac { 10 } { x - 12 } + \frac { 9 } { x + 12 } = \frac { 126 } { x ^ { 2 } - 144 }$