Solve the proportion. $$\frac { 2 x } { x + 3 } = \frac { 25 } { x }$$
A) $\left\{ - \frac { 8 } { 11 } , \frac { 17 } { 4 } \right\}$
B) $\left\{ - \frac { 5 } { 2 } , \frac { 31 } { 16 } \right\}$
C) $\left\{ - \frac { 5 } { 2 } , 15 \right\}$
D) $\{ 15 \}$

Question

Quizplus · Accepted Answer

Cross-multiply to get $2x^2 = 25(x + 3)$. Simplify to $2x^2 = 25x + 75$. Rearrange to $2x^2 - 25x - 75 = 0$. Solve the quadratic equation to find the roots $-\frac{5}{2}$ and $15$.

Solve the Proportion 2xx+3=25x\frac { 2 x } { x + 3 } = \frac { 25 } { x }x+32x​=x25​

Solve the Proportion $\frac { 2 x } { x + 3 } = \frac { 25 } { x }$