3x⁵+15x-8=0

asked by guest
on Mar 28, 2025 at 11:39 am



You asked:

Solve the equation 3x5+15x8=03 {x}^{5} + 15 x - 8 = 0 for the variable xx.

MathBot Answer:

The 5 solutions to the equation are: x0.52533137x=1.171411664271241.07061932505282i1.17141171.0706193ix=1.17141166427124+1.07061932505282i1.1714117+1.0706193ix=0.9087459802585671.09077281216848i0.908745981.0907728ix=0.908745980258567+1.09077281216848i0.90874598+1.0907728i\begin{aligned}x &\approx 0.52533137\\x &= -1.17141166427124 - 1.07061932505282 i \approx -1.1714117 -1.0706193 i\\x &= -1.17141166427124 + 1.07061932505282 i \approx -1.1714117 + 1.0706193 i\\x &= 0.908745980258567 - 1.09077281216848 i \approx 0.90874598 -1.0907728 i\\x &= 0.908745980258567 + 1.09077281216848 i \approx 0.90874598 + 1.0907728 i\end{aligned}

Solutions were approximated using numerical methods.