document.write( "Question 282389: use 5 step problem solving. The product of two facing pages is 420. Find the page numbers \n" ); document.write( "

Algebra.Com's Answer #205050 by nerdybill(7384) $\"\"$ $\"About$

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use 5 step problem solving. The product of two facing pages is 420. Find the page numbers
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\n" ); document.write( "Let x = page on the left
\n" ); document.write( "then (because it is the next page)
\n" ); document.write( "x+1 = page on the right
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\n" ); document.write( "From:\"product of two facing pages is 420\" we get our equation:
\n" ); document.write( "x(x+1) = 420
\n" ); document.write( "x^2 + x = 420
\n" ); document.write( "x^2 + x - 420 = 0
\n" ); document.write( "Factoring the left:
\n" ); document.write( "(x+21)(x-20) = 0
\n" ); document.write( "x = {-21, 20}
\n" ); document.write( "We can toss out the -21 (can't have a negative page number) so we are left with:
\n" ); document.write( "x = 20
\n" ); document.write( "Therefore, the two page numbers are: 20 and 21
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