document.write( "Question 79399: I don't know what to do with this one. Please help. Here goes:\r
\n" ); document.write( "\n" ); document.write( "Find two positive numbers that differ by 2 and have a product of 20. Match your result to the correct answer below:
\n" ); document.write( "1-sqrt21, 3-sqrt21
\n" ); document.write( "-1+sqrt21, -1-sqrt21
\n" ); document.write( "-1+sqrt21, 1+sqrt21
\n" ); document.write( "-1+sqrt21, -3+sqrt21\r
\n" ); document.write( "\n" ); document.write( "Please help. Thanks
\n" ); document.write( "

Algebra.Com's Answer #56985 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Let the two numbers be A and B. From the problem description you can write:
\n" ); document.write( "1) \"A-B+=+2\" and
\n" ); document.write( "2) \"A%2AB+=+20\"
\n" ); document.write( "Rewrite equation 1) as:
\n" ); document.write( "\"A+=+B%2B2\" and substitute into equation 2) for A, then solve for B.
\n" ); document.write( "2a) \"%28B%2B2%29B+=+20\" Simplify and subtract 20 from both sides.
\n" ); document.write( "\"B%5E2%2B2B-20+=+0\" Solve this quadratic equation using the quadratic formula:
\n" ); document.write( "\"B+=+%28-2%2B-sqrt%282%5E2-4%281%29%28-20%29%29%29%2F2%281%29\" Simplify.
\n" ); document.write( "\"B+=+%28-2%2B-sqrt%2884%29%29%2F2\"
\n" ); document.write( "\"B+=+%28-2%2B-sqrt%284%2A21%29%29%2F2\"
\n" ); document.write( "\"B+=+%28-2%2B-sqrt%2821%29%2A2%29%2F2\"
\n" ); document.write( "\"B+=+-1%2B-sqrt%2821%29\"
\n" ); document.write( "The two numbers are:
\n" ); document.write( "\"A+=+-1%2Bsqrt%2821%29\"
\n" ); document.write( "\"B+=+-1-sqrt%2821%29\"
\n" ); document.write( "
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