Solve the proportion. $$\frac { x } { 24 } = \frac { 2 } { x + 2 }$$
A) $\quad x _ { 1 } = - 8 , x _ { 2 } = - 6$
B) $x _ { 1 } = 8 , x _ { 2 } = - 6$
C) no solutions
D) $\quad x _ { 1 } = - 8 , x _ { 2 } = 6$
E) $\quad x _ { 1 } = 8 , x _ { 2 } = 6$

Question

Quizplus · Accepted Answer

Cross-multiplying the given proportion yields $x^2+2x=48 \Longrightarrow x^2+2x-48=0$. Factoring gives $(x+8)(x-6)=0$, so the solutions are $x=-8$ and $x=6$. Only $x=-8$ satisfies the original proportion, so the answer is $\boxed{	extbf{(D)}}$.

Solve the Proportion x24=2x+2\frac { x } { 24 } = \frac { 2 } { x + 2 }24x​=x+22​

Solve the Proportion $\frac { x } { 24 } = \frac { 2 } { x + 2 }$