Question

Find x+1/x if x 2 +1/x 2 =23

Answer 1

Given, x^2 + 1/x^2 = 23, we need to find what is the value of x+1/x

 

(x+1/x)^2 = x^2 + 2 + 1/x^2.

 

But, x^2+1/x^2 = 23 and hence, (x + 1/x)^2 = 23 + 2 = 25.

 

Thus, x + 1/x = sqrt (25) = +/- 5.

Answer 2

Answer:

Step-by-step explanation:Given, x^2 + 1/x^2 = 23, we need to find what is the value of x+1/x

(x+1/x)^2 = x^2 + 2 + 1/x^2.

But, x^2+1/x^2 = 23 and hence, (x + 1/x)^2

= 23 + 2 = 25.