Question

if X + 1 by X equal to 2 then find the value of x power 4 + 1 by x power 4​

Answer 1

Answer:

∴ x⁴+1/x⁴ = 2

Step-by-step explanation:

Given,

x+1/x = 2

x⁴+1/x⁴ = ?

Now,

x⁴+1/x⁴ = (x²)²+ (1/x²)²

           = (x²+1/x²)²-2×x²×1/x²

           = [(x+1/x)²-2×x×1/x]²-2

           = [(2)²-2]²-2

           = (4-2)²-2

           = (2)²-2

           = 4-2

           = 2