document.write( "Question 672799: What two positive numbers when multiplied together also equal the sum of the same two numbers?
\n" ); document.write( "what I have tried so far:
\n" ); document.write( "xy=a
\n" ); document.write( "x+y=a
\n" ); document.write( "xy=x+y
\n" ); document.write( "x(y-1)=y
\n" ); document.write( "x=y/y-1\r
\n" ); document.write( "\n" ); document.write( "I know the answer is 2 but how do I show that?
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Algebra.Com's Answer #418352 by MathTherapy(10555)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "What two positive numbers when multiplied together also equal the sum of the same two numbers?
\n" ); document.write( "what I have tried so far:
\n" ); document.write( "xy=a
\n" ); document.write( "x+y=a
\n" ); document.write( "xy=x+y
\n" ); document.write( "x(y-1)=y
\n" ); document.write( "x=y/y-1\r
\n" ); document.write( "\n" ); document.write( "I know the answer is 2 but how do I show that?\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "If the answer is 2, then you/the problem failed to mention that the two numbers are the same. If you'd mentioned this, then we solve as follows:\r
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\n" ); document.write( "\n" ); document.write( "Let the number be N\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Then N(N) = N + N\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"N%5E2+=+2N\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"N%5E2+-+2N+=+0\"\r
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\n" ); document.write( "\n" ); document.write( "N(N - 2) = 0\r
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\n" ); document.write( "\n" ); document.write( "N = 0 (ignore, since the number is positive), and \"highlight_green%28N+=+2%29\" (the number you claim to be the answer).\r
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\n" ); document.write( "\n" ); document.write( "Send comments and “thank-yous” to “D” at MathMadEzy@aol.com
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