SOLUTION: 3x=1-1/x

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: 3x=1-1/x      Log On


   



Question 264943: 3x=1-1/x
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
3x=1-1/x
3x+1/x=1 combine the x terms.
(3x*x+1)/x=1
(3x^2+1)/x=1 cross multiply.
3x^2+1=x
3x^2-x+1=0
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x=(1+-sqrt1^2-4*3*1])/2*3
x=(1+-sqrt[1-12])/6
x=(1+-sqrt-11)/6
x=(1+-3.32i)/6
x=1/6+-3.32i/6
x=1/6+-.553i ans.