Question

If x+1/x=5,find the value of x⁴+1/x⁴.​

Answer 1

Answer:

527

Step-by-step explanation:

x+1/x=5

Squaring both sides

(x+1/x)²=5²

x²+1/x²+2=25

x²+1/x²=25-2

x²+1/x2=23

Squaring both sides

(x²+1/x²)²=23²

x⁴+1/x⁴+2=529

x⁴+1/x⁴=529-2

x⁴+1/x⁴=527

I hope this will help you