Solve-x-R-such-that-x-1-5-x-5-1-81-11-

Question Number 81403 by naka3546 last updated on 12/Feb/20

S o l v e x \in R s u c h t h a t

\frac{{(x + 1)}^{5}}{(x^{5} + 1)} = \frac{81}{11}

Commented by MJS last updated on 12/Feb/20

x \neq - 1

(x + 1) (x - \frac{1}{2}) (x - 2) (x^{2} + \frac{5}{7} x + 1) = 0

x_{1} = \frac{1}{2}

x_{2} = 2

x_{3, 4} = - \frac{5}{14} \pm \frac{3 \sqrt{19}}{14} i

Answered by ajfour last updated on 12/Feb/20

\frac{x^{4} - x^{3} + x^{2} - x + 1}{{(x + 1)}^{4}} = \frac{11}{81}

x = 2 .

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