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x^4+1/x^4, if x + 1/x =6
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(x+1/x)² = 6²
x²+1/x²+2(x)(1/x) = 36
x²+1/x² + 2 = 36
x²+1/x² = 36-2
x²+1/x² = 34
(x²+1/x²)² = 34²
x⁴+1/x⁴+2(x²)(1/x²) = 1156
x⁴+1/x⁴+2 = 1156
x⁴+1/x⁴ = 1156-2
x⁴+1/x⁴ = 1154
x²+1/x²+2(x)(1/x) = 36
x²+1/x² + 2 = 36
x²+1/x² = 36-2
x²+1/x² = 34
(x²+1/x²)² = 34²
x⁴+1/x⁴+2(x²)(1/x²) = 1156
x⁴+1/x⁴+2 = 1156
x⁴+1/x⁴ = 1156-2
x⁴+1/x⁴ = 1154
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