+0  
 
0
23
1
avatar

I've been working on this so long, but I can't get it.

 

If x^2 + 1/x^2 = 3 and x > 0, what is the value of x - 1/x?  Express your answer in simplest radical form.

 Jan 20, 2023
 #1
avatar+1317 
+1

\((x - {1\over x})^2 = x^2 - 2 + {1\over x^2} = 3 - 2 = 1\)

\(x - {1\over x} = \pm1\)

.
 Jan 20, 2023

37 Online Users