document.write( "Question 805454: the question is \" solve all positive integers (x,y) that satisfy: x^2-4xy+3y^2=17\"
\n" ); document.write( "i factored it down to (x-y)(x-3y)-17=0. and now i don't know what to do. Could you possibly walk me through the rest of the problem? \n" ); document.write( "
Algebra.Com's Answer #485245 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
the question is \" solve all positive integers (x,y) that satisfy:
\n" ); document.write( "x^2-4xy+3y^2=17
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\n" ); document.write( "(x-y)(x-3y) = 17
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\n" ); document.write( "Since 17 is a prime number,
\n" ); document.write( "x-y = 1 and x-3y = 17
\n" ); document.write( "Then y+1-3y = 17
\n" ); document.write( "-2y = 16
\n" ); document.write( "y = -8
\n" ); document.write( "---
\n" ); document.write( "And x = y+1 = -7
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\n" ); document.write( "OR
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\n" ); document.write( "x-y = 17 and x-3y = 1
\n" ); document.write( "y+17 -3y = 1
\n" ); document.write( "-2y = -16
\n" ); document.write( "y = 8
\n" ); document.write( "----
\n" ); document.write( "And x = y+17 = 25
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\n" ); document.write( "Since you are asked for Positive solutions,
\n" ); document.write( "x = 25 and y = 8
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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