document.write( "Question 127385: x^2y^2-17xy+60
\n" ); document.write( "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. \n" ); document.write( "

Algebra.Com's Answer #93345 by Earlsdon(6294) $\"\"$ $\"About$

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

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