x +1÷x=5 then x^4+1÷x^4 find x
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x + 1/x = 5
Squaring on both sides
=> x²+1/x²+2(x)(1/x) = 25
=> x²+1/x²+2 = 25
=> x²+1/x² = 23
Squaring on both sides
=> x⁴+1/x⁴+2(x²)(1/x²) = 529
=> x⁴+1/x⁴+2 = 529
=> x⁴+1/x⁴ = 527
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