Question

If x+1/x= 3, evaluate x⁴ + +1/x⁴​

Answer 1

x + 1/x = 3

(x + 1/x)² = 9

x² + 1/x² + 2 = 9

x² + 1/x² = 7

(x² + 1/x²)² = 49

x⁴ + 1/x⁴ + 2 = 49

=> x⁴ + 1/x⁴ = 47

Therefore, 47 is the answer...

Hope this helps... Have a great day...