Question

X+1/x=2 , show that x^4 +1/x^4=x+1/x

Answer 1

Step-by-step explanation:

x+1/x=2

(x+1/x)²=4

x²+1/x²+2=4

x²+1/x²=2

(x²+1/x²)²=4

x⁴+1/x⁴+2=4

x⁴+1/x⁴=2

so,x⁴+1/x⁴=x+1/x