If x+1/x=4,then find x⁴+1/x⁴.with process(in book if possible plea

1.	If x+1/x=4,then find x⁴+1/x⁴.with process(in book if possible please).
Answer» ANSWER: 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

If x+1/x=4,then find x⁴+1/x⁴.with process(in book if possible please).

Answer»

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