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If xxx satisfy the equation x4−x2+1=0x^4 - x^2 + 1 = 0 x4−x2+1=0, find the value of x5+1xx^5 + \dfrac1x x5+x1.
Clarification: Yes, it is indeed 1x\dfrac1xx1, not 1x5 \dfrac1{x^5} x51.
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