Don't be confused!

Algebra Level 3

If xx satisfy the equation x4x2+1=0x^4 - x^2 + 1 = 0 , find the value of x5+1xx^5 + \dfrac1x .

Clarification: Yes, it is indeed 1x\dfrac1x, not 1x5 \dfrac1{x^5} .

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