25000 * a * (1 + a) ^ 5 / ((1 + a) ^ 5 - 1) = 7170.48
You asked:
Solve the equation \(\frac{25000 a {\left( 1 + a \right)}^{5}}{{\left( 1 + a \right)}^{5} - 1} = 7170.48\) for the variable \(a\).
MathBot Answer:
The 5 solutions to the equation are: \[\begin{aligned}a &\approx 0.13360452\\a &= -1.57034533379551 - 0.380174573815909 i \approx -1.5703453 -0.38017457 i\\a &= -1.57034533379551 + 0.380174573815909 i \approx -1.5703453 + 0.38017457 i\\a &= -0.853047327739444 - 0.718981197048073 i \approx -0.85304733 -0.7189812 i\\a &= -0.853047327739444 + 0.718981197048073 i \approx -0.85304733 + 0.7189812 i\end{aligned}\]
Solutions were approximated using numerical methods.