Question

1
2. If x² + 1/x² =14 , then find the positive value of x +1/x​

Answer 1

Step-by-step explanation:

x² + 1/x² = 14

We know,

(x + 1/x)² = x² + 1/x² + 2 × x × 1/x

=>(x + 1/x)² = x² + 1/x² + 2 = 14 + 2 = 16 = 4²

=> x + 1/x = 4

Answer 2

Step-by-step explanation:

(x + 1/x)² = x² + 1/x² + 2 × x × 1/x

(x + 1/x)² = 14 + 2

(x + 1/x)² = 16

x + 1/x = √16

x + 1/x = 4