a^5-5a^4+10a^3-10a^2+5a=4.95

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on Nov 27, 2024 at 3:51 am



You asked:

Solve the equation a5−5a4+10a3−10a2+5a=4.95{a}^{5} - 5 {a}^{4} + 10 {a}^{3} - 10 {a}^{2} + 5 a = 4.95 for the variable aa.

MathBot Answer:

The 5 solutions to the equation are: a≈2.3161925a=−0.0648221184507136−0.773638553815205i≈−0.064822118−0.77363855ia=−0.0648221184507136+0.773638553815205i≈−0.064822118+0.77363855ia=1.40672585727551−1.25177347508032i≈1.4067259−1.2517735ia=1.40672585727551+1.25177347508032i≈1.4067259+1.2517735i\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.

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