Question

if (x^2+1/x^2)-4(x+1/x)+23/4=0 , find (x+1/x)​

Answer 1

Answer:

5 or -5

Step-by-step explanation:

We have x

2

+1/x

2

=23

(x+1/x)

2

=x

2

+1/x

2

+2

= 23 + 2

= 25

Taking square root on both sides, we get

(x+1/x)=±5

Thus, x + 1/x = 5 or -5