25000 * a * (1 + a) ^ 5 / ((1 + a) ^ 5 - 1) = 7170

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on Jan 13, 2025 at 12:57 am



You asked:

Solve the equation 25000a(1+a)5(1+a)5−1=7170\frac{25000 a {\left( 1 + a \right)}^{5}}{{\left( 1 + a \right)}^{5} - 1} = 7170 for the variable aa.

MathBot Answer:

The 5 solutions to the equation are: a≈0.13357694a=−1.57033927737938−0.380170447886065i≈−1.5703393−0.38017045ia=−1.57033927737938+0.380170447886065i≈−1.5703393+0.38017045ia=−0.853049191207792−0.718973628394825i≈−0.85304919−0.71897363ia=−0.853049191207792+0.718973628394825i≈−0.85304919+0.71897363i\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.

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