Question

if x⁴+1/x⁴=4 then x-1/x is equal to​

Answer 1

Answer:

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