Question

if x+1/x=3 . find x²+1/x² and x⁴+1/x⁴. wite with steps.​

Answer 1

Step-by-step explanation:

x+1/x=5

(x+1/x)²=x²+1/x²+2

(5)²=x²+1/x²+2

25 - 2=x²+1/x² => 23

(x²+1/x²)² = x⁴+1/x⁴+2

(23)² = x⁴+1/x⁴+2

529-2=x⁴+1/x⁴

527 = x⁴+1/x⁴