SOLUTION: how do i solve this equation using the quadratic formula: {{{ 1/2 r^2= 1/6 r-2/3 }}}

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: how do i solve this equation using the quadratic formula: {{{ 1/2 r^2= 1/6 r-2/3 }}}      Log On


   

Question 713956: how do i solve this equation using the quadratic formula:
+1%2F2+r%5E2=+1%2F6++r-2%2F3+
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Clear the denominators and work with the result until the equation is in the form of a quadratic equation.

Lowest common denominator to begin is 2%2A3%2Ar%5E2..
1%2F%282+r%5E2%29=+1%2F%286++r%29-2%2F3
%281%2F%282+r%5E2%29%292%2A3%2Ar%5E2=+%281%2F%286++r%29-2%2F3%292%2A3%2Ar%5E2
..
That's how you start. Can you continue and then finish?