Solve the proportion. $\frac { 2 } { c } = \frac { c - 4 } { 6 }$
A) $c = 6 , c = - 2$
B) $c = 2 , c = - 3$
C) c=-3
D) c=-2
E) no solution

Question

Quizplus · Accepted Answer

To solve the proportion $\frac{2}{c} = \frac{c-4}{6}$, cross-multiply to get $2 \times 6 = c \times (c - 4)$, which simplifies to $12 = c^2 - 4c$. Rearranging gives $c^2 - 4c - 12 = 0$. Factoring or using the quadratic formula yields $c = 6$ and $c = -2$.

Solve the Proportion 2c=c−46\frac { 2 } { c } = \frac { c - 4 } { 6 }c2​=6c−4​

Solve the Proportion $\frac { 2 } { c } = \frac { c - 4 } { 6 }$