Solve the equation.
-$\frac { 2 } { t } = \frac { t } { 5 t - 12 }$
A) 0,36
B) $0 , \frac { 24 } { 9 }$
C) 4,6
D) 0

Name: Solve the equation. -$\frac { 2 } { t } = \frac { t } { 5 t - 12 }$ A) 0,36 B) $0 , \frac { 24 } { 9 }$ C) 4,6 D) 0
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Question

Quizplus · Accepted Answer

To solve the equation, cross-multiply to get $2(5t - 12) = t^2$. Simplify to get $10t - 24 = t^2$. Rearrange to form a quadratic equation: $t^2 - 10t + 24 = 0$. Factor the quadratic to get $(t - 4)(t - 6) = 0$. Thus, $t = 4$ or $t = 6$.

Solve the Equation 2t=t5t−12\frac { 2 } { t } = \frac { t } { 5 t - 12 }t2​=5t−12t​

Solve the Equation $\frac { 2 } { t } = \frac { t } { 5 t - 12 }$