Given X / X & # 178; - x + 1 = 1 / 5, find the value of X & # 178 / X4 power + X & # 178; + 1
x/(x²-x+1)=1/5
1 / (x - 1 + 1 / x) = 1 / 5 / numerator denominator divided by X
x -1 +1/x=5
x+ 1/x=6
x²/(x⁴+x²+1)
=1 / (X & # 178; + 1 + 1 / X & # 178;) / the numerator and denominator are divided by X & # 178;
=1 / [(x + 1 / x) & # - 1] / denominator formula
=1/(6²-1)
=1/35
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