Question

14. If
x + 1/x = 4 then x⁴+ 1/x⁴ =​

Answer 1

Step-by-step explanation:

Given:-

x+1/x=4. (1)

find:-

x⁴+1/x⁴=?

solution:-

Taking square on both sides of (1)

x²+1/x²+2=16

x²+1/x²=14. (2)

again taking square on both sides

x⁴+1/x⁴+2=196

x⁴+1/x⁴=194