32. x+1/x=5 then x+1/x =?

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x is a rational number satisfying (1-x) (1+x+x²+x³+x⁴) = .

Then 1+x+x²+x³+x⁴+X⁵ is

2 (\frac{2 x - 1}{x + 3}) - 3 (\frac{x + 3}{2 x - 1}) = 5, (x \neq - 3, \frac{1}{2})

\int (5 x + 3) \sqrt{2 x - 1} d x

x

(1 - x) (1 + x + x^{2} + x^{3} + x^{4})

= \frac{31}{32} .

1 + x + x^{2} + x^{3} + x^{4} + x^{5}

2 (\frac{2 x - 1}{x + 3}) - 3 (\frac{x + 3}{2 x - 1}) = 5, x \neq - 3, \frac{1}{2} .

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