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x + 1/x = √5
x²+1/x = √5
√[(x²+1)/x] = 5
√x²+1/√x = 5
x+1/√x = 5
√x = x+1/5
x = (x+1/5)²
x = (x+1)²/25
25x = x² +2x+1
x²-23x+1 = 0
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