If x + 1/x=√5, find the value of x^4 + 1/x^4.
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X+1/x = 5
(x+1/x)² = x²+1/x²+2
(5)² = x²+1/x²+2
25-2 = x²+1/x² => 23
(x²+1/x²)² = x⁴+1/x⁴+2
(23)² = x⁴+1/x⁴+2
529-2 = x⁴+1/x⁴
527 = x⁴+1/x⁴
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