SOLUTION: Hello, The question is "form a quadratic equation and solve. Answer to the nearest tenth. x+1/x=3, x≠0

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Hello, The question is "form a quadratic equation and solve. Answer to the nearest tenth. x+1/x=3, x≠0      Log On


   

Question 859400: Hello,
The question is "form a quadratic equation and solve. Answer to the nearest tenth. x+1/x=3, x≠0
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Simple fraction skills to start with.
What you show is x%2B1%2Fx=3 if you meant what you wrote.
Denominator is x.
x%28x%2Fx%29%2B1%2Fx=3
%28x%5E2%2B1%29%2Fx=3
x%28x%5E2%2B1%29%2Fx=3x
x%5E2%2B1=3x
x%5E2-3x%2B1=0

The quadratic expression is not factorable. Easiest way to solve is use the general solution for a quadratic equation.
x=%283%2B-+sqrt%289-4%29%29%2F2
highlight%28x=%283%2B-+sqrt%285%29%29%2F2%29 and both will work in the original equation.