180000/x+180000/x^2+180000/x^3+180000/x^4+180000/x^5+1100000/x^5-1400000=0

asked by guest
on Jan 20, 2025 at 9:00 am



You asked:

Solve the equation 180000x+180000x2+180000x3+180000x4+180000x5+1100000x5−1400000=0\frac{180000}{x} + \frac{180000}{{x}^{2}} + \frac{180000}{{x}^{3}} + \frac{180000}{{x}^{4}} + \frac{180000}{{x}^{5}} + \frac{1100000}{{x}^{5}} - 1400000 = 0 for the variable xx.

MathBot Answer:

The 5 solutions to the equation are: x≈1.0929777x=−0.77407303240484−0.561234593124223i≈−0.77407303−0.56123459ix=−0.77407303240484+0.561234593124223i≈−0.77407303+0.56123459ix=0.29186990638388−0.910964436021097i≈0.29186991−0.91096444ix=0.29186990638388+0.910964436021097i≈0.29186991+0.91096444i\begin{aligned}x &\approx 1.0929777\\x &= -0.77407303240484 - 0.561234593124223 i \approx -0.77407303 -0.56123459 i\\x &= -0.77407303240484 + 0.561234593124223 i \approx -0.77407303 + 0.56123459 i\\x &= 0.29186990638388 - 0.910964436021097 i \approx 0.29186991 -0.91096444 i\\x &= 0.29186990638388 + 0.910964436021097 i \approx 0.29186991 + 0.91096444 i\end{aligned}

Solutions were approximated using numerical methods.

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