document.write( "Question 872362: consider the equation x^2+y^2=2007 .how many solutions(x,y) exist such that x and y are positive integers?
\n" ); document.write( "A. NONE
\n" ); document.write( "B. EXACTLY TWO
\n" ); document.write( "C. MORE THAN TWO BUT FINITELY MANY
\n" ); document.write( "D. INFINITELY MANY
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Algebra.Com's Answer #526121 by KMST(5328)\"\" \"About 
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None.
\n" ); document.write( "If \"x%3Cy\" , \"2007=x%5E2%2By%5E2%3E2x%5E2\"
\n" ); document.write( "So \"2x%5E2%3C2007\" , \"x%5E2%3C2007%2F2=1003.5\", and x<\"sqrt%281003.5%29%3C31.7\".
\n" ); document.write( "Trying to find \"y=sqrt%282007-x%5E2%29\" for all x integers from 1 to 31,
\n" ); document.write( "none of the y values found is an integer.
\n" ); document.write( "
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