Question

if x4 +1/x4=6235find x+1/x

Answer 1

Solution :

x⁴ + 1/x⁴ = 6235

>> (x²)² + (1/x²)² = 6235

>> (x²)² + (1/x²)² + 2 = 6237

>> [ x² + 1/x² ] ² = 6237

>> x² + 1/x² = √6237 ≈ 78.974

>> (x+1/x)² = 78.974 + 2 = 80.974 ≈ 81

>> x+1/x = ±9 .

This is the required answer .

_____________________________________

Answer 2

Step-by-step explanation:

Solution :

x⁴ + 1/x⁴ = 6235

>> (x²)² + (1/x²)² = 6235

>> (x²)² + (1/x²)² + 2 = 6237

>> [ x² + 1/x² ] ² = 6237

>> x² + 1/x² = √6237 ≈ 78.974

>> (x+1/x)² = 78.974 + 2 = 80.974 ≈ 81

>> x+1/x = ±9 .

This is the required answer .

_____________________________________