25000 * a * (1 + a) ^ 5 / ((1 + a) ^ 5 - 1) = 7170
You asked:
Solve the equation \(\frac{25000 a {\left( 1 + a \right)}^{5}}{{\left( 1 + a \right)}^{5} - 1} = 7170\) for the variable \(a\).
MathBot Answer:
The 5 solutions to the equation are: \[\begin{aligned}a &\approx 0.13357694\\a &= -1.57033927737938 - 0.380170447886065 i \approx -1.5703393 -0.38017045 i\\a &= -1.57033927737938 + 0.380170447886065 i \approx -1.5703393 + 0.38017045 i\\a &= -0.853049191207792 - 0.718973628394825 i \approx -0.85304919 -0.71897363 i\\a &= -0.853049191207792 + 0.718973628394825 i \approx -0.85304919 + 0.71897363 i\end{aligned}\]
Solutions were approximated using numerical methods.