Question

If x+1/x = √5 , find x²+1/x² and x⁴+1/x⁴​

Answer 1

Answer:

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Step-by-step explanation:

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