SOLUTION: How would you solve this equation? 2/r^2-r - 1 = 2/r-1 What does 'r' equal?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: How would you solve this equation? 2/r^2-r - 1 = 2/r-1 What does 'r' equal?      Log On


   

Question 1313: How would you solve this equation?
2/r^2-r - 1 = 2/r-1
What does 'r' equal?
Answer by DeepaEvangeline(15) About Me  (Show Source):
You can put this solution on YOUR website!
2/(r2-r) - 1 = 2(r-1)
2/r(r-1) - 1 = 2/(r-1)
Multiply the above eqn by r(r-1)
2 - r(r-1) = 2r
2 - r2 + r = 2r
2 - r2 + r - 2r = 0
2 - 2r + r - r2 = 0
2(1-r) + r(1-r) = 0
(1-r)(2+r) = 0
1-r = 0 -> r = 1 (not feasible)
2+r = 0 -> r = -2
Therefore r = -2