# If #x+1/x=sqrt5#, find the value of #x^2+1/x^2#?

##### 2 Answers

Mar 8, 2017

#### Explanation:

We square both sides.

#(x + 1/x)^2 = sqrt(5)^2#

#x^2 + 2 + 1/x^2 = 5#

#x^2 + 1/x^2 = 3#

Hopefully this helps!

Mar 8, 2017

3

#### Explanation: