3.84=(r-0.5)/(1-r)^2
You asked:
Solve the equation \(3.84 = \frac{r - 0.5}{{\left( 1 - r \right)}^{2}}\) for the variable \(r\).
MathBot Answer:
The 2 solutions to the equation are: \[\begin{aligned}r &= \frac{217}{192} - \frac{5 \sqrt{217}}{192} \approx 0.74659063\\r &= \frac{217}{192} + \frac{5 \sqrt{217}}{192} \approx 1.513826\end{aligned}\]