document.write( "Question 1093358: A book opened to two pages with a product of 7140 what are the facing pages \n" ); document.write( "

Algebra.Com's Answer #707972 by josmiceli(19441) $\"\"$ $\"About$

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Let the facing pages be $\"+n+\"$ and $\"+n%2B1+\"$
\n" ); document.write( "given:
\n" ); document.write( " $\"+n%2A%28+n%2B1+%29+=+7140+\"$
\n" ); document.write( " $\"+n%5E2+%2B+n+=+7140+\"$
\n" ); document.write( "complete the square
\n" ); document.write( " $\"+n%5E2+%2B+n+%2B+%281%2F2%29%5E2+=+7140+%2B+%281%2F2%29%5E2+\"$
\n" ); document.write( " $\"+%28+n+%2B+1%2F2+%29%5E2+=+28560%2F4+%2B+1%2F4+\"$
\n" ); document.write( " $\"+%28+n+%2B+1%2F2+%29%5E2+=+28561%2F4+\"$
\n" ); document.write( " $\"+%28+n+%2B+1%2F2+%29%5E2+=+%28+169%2F2+%29%5E2+\"$
\n" ); document.write( "Take the square root of both sides
\n" ); document.write( " $\"+n+%2B+1%2F2+=+169%2F2+\"$
\n" ); document.write( " $\"+n+=+168%2F2+\"$
\n" ); document.write( " $\"+n+=+84+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+n%2B1+=+85+\"$
\n" ); document.write( "The facing pages are 84 and 85
\n" ); document.write( "-------------------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+n%2A%28+n%2B1+%29+=+7140+\"$
\n" ); document.write( " $\"+84%2A85+=+7140+\"$
\n" ); document.write( " $\"+7140+=+7140+\"$
\n" ); document.write( "OK \n" ); document.write( "

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