document.write( "Question 417188: The sum of two numbers equal 8.5 and a product of 18 what are the numbers? \n" ); document.write( "

Algebra.Com's Answer #292126 by htmentor(1343) $\"\"$ $\"About$

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$\"x+%2B+y+=+8.5\"$ (1)
\n" ); document.write( " $\"x%2Ay+=+18\"$ (2)
\n" ); document.write( "Solve for x (or y) in (1) -> $\"x+=+8.5+-+y\"$
\n" ); document.write( "Substituting in (2) gives $\"%288.5-y%29y+=+18\"$ -> $\"8.5y+-+y%5E2+=+18\"$
\n" ); document.write( "Put in \"standard\" form and use the quadratic formula:
\n" ); document.write( " $\"y%5E2+-+8.5y+%2B+18+=+0\"$ -> $\"y=%288.5+%2B-+sqrt%28%28-8.5%29%5E2-%284%2A18%29%29%29%2F2\"$
\n" ); document.write( "This reduces to $\"y+=+%288.5+%2B-+0.5%29%2F2+-%3E+y+=+4\"$ or $\"y+=+4.5\"$
\n" ); document.write( "From (1), if y = 4, x = 4.5 and if y = 4.5, x = 4
\n" ); document.write( "So the two numbers are 4 and 4.5
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