Is this even possible to have Integer value?

Algebra Level 4

A certain xx value in (2,3)(√2,√3) satisfies {1x}={x2}. \{\frac{1}{x}\}=\{x^2\}.

Find P=x43xP=x^4-\frac{3}{x}.

Details
{x}\{x\} is fractional part function.

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