Question

x^4+1÷x^4 194 then x+1÷x = ?

Answer 1

x⁴ + 1/x⁴ = 194


Adding 2(x² × 1/x²) on both sides,



x⁴ + 1/x⁴ + 2(x² × 1/x²) = 194 + 2(x × 1/x)




(x² + 1/x²)² = 196



x² + 1/x² = √196



x² + 1/x² = 14






adding 2(x × 1/x) on both sides,





x² + 1/x² + 2(x × 1/x) = 14 + 2(x × 1/x)



(x + 1/x)² = 14 + 2



x + 1/x = √16




$x + 1/x = 4$

Answer 2

Answer:

Step-by-step explanation:

x⁴ + 1/x⁴ = 194

Adding 2(x² × 1/x²) on both sides,

x⁴ + 1/x⁴ + 2(x² × 1/x²) = 194 + 2(x × 1/x)

(x² + 1/x²)² = 196

x² + 1/x² = √196

x² + 1/x² = 14

adding 2(x × 1/x) on both sides,

x² + 1/x² + 2(x × 1/x) = 14 + 2(x × 1/x)

(x + 1/x)² = 14 + 2

x + 1/x = √16