6x⁵+11x⁴-33x³-33²+11x+6=0

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on Nov 13, 2024 at 10:35 pm



You asked:

Solve the equation 6x5+11x4−33x3−332+11x+6=06 {x}^{5} + 11 {x}^{4} - 33 {x}^{3} - {33}^{2} + 11 x + 6 = 0 for the variable xx.

MathBot Answer:

The 5 solutions to the equation are: x≈2.8323861x=−3.0572170751715−1.07830164109999i≈−3.0572171−1.0783016ix=−3.0572170751715+1.07830164109999i≈−3.0572171+1.0783016ix=0.724357360451815−2.35354739580783i≈0.72435736−2.3535474ix=0.724357360451815+2.35354739580783i≈0.72435736+2.3535474i\begin{aligned}x &\approx 2.8323861\\x &= -3.0572170751715 - 1.07830164109999 i \approx -3.0572171 -1.0783016 i\\x &= -3.0572170751715 + 1.07830164109999 i \approx -3.0572171 + 1.0783016 i\\x &= 0.724357360451815 - 2.35354739580783 i \approx 0.72435736 -2.3535474 i\\x &= 0.724357360451815 + 2.35354739580783 i \approx 0.72435736 + 2.3535474 i\end{aligned}

Solutions were approximated using numerical methods.

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