SOLUTION: x^2y^2-17xy+60 I tried to do this problem but i really can't get started but please take me through the steps if you don't mind!!!!!! But i do know 20 and 3 should be in my answer

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: x^2y^2-17xy+60 I tried to do this problem but i really can't get started but please take me through the steps if you don't mind!!!!!! But i do know 20 and 3 should be in my answer      Log On


   



Question 127385: x^2y^2-17xy+60
I tried to do this problem but i really can't get started but please take me through the steps if you don't mind!!!!!! But i do know 20 and 3 should be in my answer.

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for xy:
x%5E2y%5E2-17xy%2B60 Can you see this as a quadratic equation in xy?
%28xy%29%5E2-17%28xy%29%2B60 This can be factored:
%28xy-5%29%28xy-12%29 Applying the zero products principle, we get:
xy-5+=+0 or xy-12+=+0 so that...
xy+=+5 or xy+=+12
You expected to get:
xy+=+3 and xy+=+20 but your equation would have to be:
x%5E2y%5E2-23xy%2B60 which factors into...
%28xy-3%29%28xy-20%29 thus giving you...
xy+=+3 or xy+=+20 or... to get xy+=+-3, xy+=+20, your equation should be:
x%5E2y%5E2-17xy-60 which factors into...
%28xy%2B3%29%28xy-20%29 thus giving you...
xy+=+-3 or xy+=+20