SOLUTION: Hi the section im working on is solving rational equations. Heres the problem i need help on: 1 + 2/x = 3/x^2 Thank you!

Algebra ->  Rational-functions -> SOLUTION: Hi the section im working on is solving rational equations. Heres the problem i need help on: 1 + 2/x = 3/x^2 Thank you!      Log On


   

Question 133759: Hi the section im working on is solving rational equations. Heres the problem i need help on:
1 + 2/x = 3/x^2
Thank you!
Found 2 solutions by SoOoDumb, Earlsdon:
Answer by SoOoDumb(14) About Me  (Show Source):
You can put this solution on YOUR website!
%281+%2B+2%29%2Fx+=+3%2Fx%5E2
Add 1+2
3%2Fx+=+3%2Fx%5E2
Cross multiply
3x%5E2+=+3x
Divide both sides by x
3x%5E2%2Fx+=+3x%2Fx
3x+=+3
Divide both sides by 3
x=1

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
1%2B%282%2Fx%29+=+3%2Fx%5E2 Multiply both sides by x%5E2
x%5E2%2B%282x%5E2%2Fx%29+=+3 Simplify.
x%5E2%2B2x+=+3 Subtract 3 from both sides.
x%5E2%2B2x-3+=+0 Solve the quadratic equation by factoring.
%28x%2B3%29%28x-1%29+=+0 Apply the zero products rule.
x%2B3+=+0 or x-1+=+0, so...
x+=+-3 or x+=+1