SOLUTION: Hello I'm kind of confused on how to solve this; What are the solutions to the equation {{{ 1+ 1/x^2= 3/x }}} I don't know how to turn this into a quadratic equation to use with th

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Hello I'm kind of confused on how to solve this; What are the solutions to the equation {{{ 1+ 1/x^2= 3/x }}} I don't know how to turn this into a quadratic equation to use with th      Log On


   

Question 731868: Hello I'm kind of confused on how to solve this; What are the solutions to the equation +1%2B+1%2Fx%5E2=+3%2Fx+ I don't know how to turn this into a quadratic equation to use with the quadratic formula.
Thanks.
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
multiply by x^2
+x%5E2%2B+1=3x+
rearrange
+x%5E2-3x%2B+1=0+
4/5 (x-3/2)^2 = 1
(x-3/2)^2 = 5/4
x = 1/2 (3+sqrt(5))
x = 1/2 (3-sqrt(5))