document.write( "Question 990548: The difference of two numbers is 2 and the sum of their square twenty what are the numbers
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Algebra.Com's Answer #610556 by macston(5194)\"\" \"About 
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\n" ); document.write( "x and y are the two numbers
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\n" ); document.write( "x-y=2 or y-x=2 (order is not specified)
\n" ); document.write( "x=2+y or x=2-y
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\n" ); document.write( "\"x%5E2%2By%5E2=20\"
\n" ); document.write( "\"%282%2By%29%5E2%2By%5E2=20\"
\n" ); document.write( "\"%28y%5E2%2B4y%2B4%29%2By%5E2=20\"
\n" ); document.write( "\"2y%5E2%2B4y%2B4=20\"
\n" ); document.write( "\"2y%5E2%2B4y-16=0\"
\n" ); document.write( "\"y%5E2%2B2y-8=0\"
\n" ); document.write( "\"%28y%2B4%29%28y-2%29=0\"
\n" ); document.write( "\"y%2B4=0\" \"OR\" \"y-2=0\"
\n" ); document.write( "\"y=-4\" \"OR\" \"y=2\"
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\n" ); document.write( "For y=-4:
\n" ); document.write( "x=y+2=-4+2=-2
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\n" ); document.write( "CHECK:
\n" ); document.write( "x^2+y^2=20
\n" ); document.write( "(-4)^2+(-2)^2=20
\n" ); document.write( "16+4=20
\n" ); document.write( "20=20
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\n" ); document.write( "For the first solution the difference between first and second:
\n" ); document.write( "x-y=2
\n" ); document.write( "-2-(-4)=2
\n" ); document.write( "-2+4=2
\n" ); document.write( "2=2
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\n" ); document.write( "ANSWER 1: One solution is (-2,-4)
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\n" ); document.write( "For y=2:
\n" ); document.write( "x=y+2=2+2=4
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\n" ); document.write( "CHECK:
\n" ); document.write( "x^2+y^2=20
\n" ); document.write( "2^2+4^2=20
\n" ); document.write( "4+16=20
\n" ); document.write( "20=20
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\n" ); document.write( "For second solution the difference between second and first:
\n" ); document.write( "y-x=2
\n" ); document.write( "4-2=2
\n" ); document.write( "2=2
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\n" ); document.write( "ANSWER 2: Another solution is 2,4\r
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