Question

if x2+1/x2 = 11 find
1) x-1/x
2) x+1/x
3) x2-1/x2

Answer 1

Answer:

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