a^5-5a^4+10a^3-10a^2+5a=4.95
You asked:
Solve the equation \({a}^{5} - 5 {a}^{4} + 10 {a}^{3} - 10 {a}^{2} + 5 a = 4.95\) for the variable \(a\).
MathBot Answer:
The 5 solutions to the equation are: \[\begin{aligned}a &\approx 2.3161925\\a &= -0.0648221184507136 - 0.773638553815205 i \approx -0.064822118 -0.77363855 i\\a &= -0.0648221184507136 + 0.773638553815205 i \approx -0.064822118 + 0.77363855 i\\a &= 1.40672585727551 - 1.25177347508032 i \approx 1.4067259 -1.2517735 i\\a &= 1.40672585727551 + 1.25177347508032 i \approx 1.4067259 + 1.2517735 i\end{aligned}\]
Solutions were approximated using numerical methods.