document.write( "Question 337927: A student opens a mathmatics book to facing pages. The product of the page numbers is 1332. Find the page numbers.\r
\n" ); document.write( "\n" ); document.write( "The first page is __?__
\n" ); document.write( "The second page is __?__
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Algebra.Com's Answer #242258 by katealdridge(100)\"\" \"About 
You can put this solution on YOUR website!
This is a systems of equations problem. You have two equations and two unknowns.
\n" ); document.write( "First: \"x%2Ay=1332\"
\n" ); document.write( "Second: \"y=x%2B1\" because if the pages are facing each other, then they are consecutive integers, like 134 and 135, for instance.\r
\n" ); document.write( "\n" ); document.write( "Substitute x+1 for y in first equation:
\n" ); document.write( "\"x%2A%28x%2B1%29=1332\"
\n" ); document.write( "distribute x
\n" ); document.write( "\"x%5E2%2Bx=1332\"
\n" ); document.write( "solve the quadratic for 0
\n" ); document.write( "\"x%5E2%2Bx-1332=0\"
\n" ); document.write( "Factor (look for two numbers that multiply to 1332 and add or subtract to 1
\n" ); document.write( "\"%28x%2B37%29%28x-36%29=0\"
\n" ); document.write( "x=-37, x=36
\n" ); document.write( "x=-37 does not make sense for this question, so x=36. Since y=x+1, y=36+1=37
\n" ); document.write( "Therefore the facing pages are 36 and 37.
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