document.write( "Question 374361: A student opens a mathematics book to two facing pages. The product of the page numbers is 1190. Find the page numbers. The first page is ___________. The second page is ______________. \n" ); document.write( "

Algebra.Com's Answer #266394 by josmiceli(19441) $\"\"$ $\"About$

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Call the left page $\"p\"$
\n" ); document.write( "The right page is $\"p+%2B+1\"$
\n" ); document.write( "given:
\n" ); document.write( " $\"p+%2A%28+p+%2B+1%29+=+1190\"$
\n" ); document.write( " $\"p%5E2+%2B+p+=+1190\"$
\n" ); document.write( "I'll complete the square to find the roots
\n" ); document.write( " $\"p%5E2+%2B+p+%2B+%281%2F2%29%5E2+=+1190+%2B+%281%2F2%29%5E2\"$
\n" ); document.write( " $\"p%5E2+%2B+p+%2B+1%2F4+=+1190+%2B+1%2F4\"$
\n" ); document.write( " $\"%28p+%2B+1%2F2%29%5E2+=+%281190%2A4+%2B+1%29%2F4\"$
\n" ); document.write( " $\"%28p+%2B+1%2F2%29%5E2+=+4761%2F4\"$
\n" ); document.write( " $\"%28p+%2B+1%2F2%29%5E2+=+%2869%2F2%29%5E2\"$
\n" ); document.write( " $\"p+%2B+1%2F2+=+69%2F2\"$
\n" ); document.write( " $\"p+=+69%2F2+-+1%2F2\"$
\n" ); document.write( " $\"p+=+34\"$
\n" ); document.write( " $\"p+%2B+1+=+35\"$
\n" ); document.write( "The pages are 34 and 35
\n" ); document.write( "check:
\n" ); document.write( " $\"34%2A35+=+1190\"$
\n" ); document.write( "OK \n" ); document.write( "

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