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5x^(-9)+x=1 equation

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Numerical solution:

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The solution

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5         
-- + x = 1
 9        
x         
$$x + \frac{5}{x^{9}} = 1$$
The graph
Numerical answer [src]
x1 = -1.04325738143233 - 0.357153154213869*i
x2 = -1.04325738143233 + 0.357153154213869*i
x3 = -0.613250735075545 - 0.932308312730034*i
x4 = -0.613250735075545 + 0.932308312730034*i
x5 = 0.0858376073137122 - 1.14303821453695*i
x6 = 0.0858376073137122 + 1.14303821453695*i
x7 = 0.797528950476344 - 0.904559721200608*i
x8 = 0.797528950476344 + 0.904559721200608*i
x9 = 1.27314155871782 - 0.327491318258441*i
x10 = 1.27314155871782 + 0.327491318258441*i
x10 = 1.27314155871782 + 0.327491318258441*i