Question

if x+1/x=4 then find x⁴+1/x⁴

Answer 1

x^2 +1/x^2=4^2-2=16-2=14
x^4 + 1/x^4=14^2 -2=196-2=194

Answer 2

Hey buddy,

x + 1/x = 4

Squaring both sides,

(x + 1/x)² = 4²

x² + 1/x² + 2×x×1/x = 16

x² + 1/x² + 2 = 16

x² + 1/x² = 14

Now, again squaring both sides,

(x² + 1/x²)² = 14²

x⁴ + 1/x⁴ + 2×x²×1/x²  = 196

x⁴ + 1/x⁴ + 2 = 196

∴ x⁴ + 1/x⁴ = 194

HOPE IT HELPS......... :)