Question

if x+1/x=4,find the value of xto the power 4+1/x to the power 4​

Answer 1

x+1/x=4

squaring both sides

(x+1/x)²=16

x²+1/x²+2=16

x²+1/x²=14

again, squaring both sides

(x²+1/x²)²=196

x⁴+1/x⁴+2=196

x⁴+1/x⁴=194