document.write( "Question 1124936: I need help with an algebra 2 question. The question is:
\n" ); document.write( "\"Find three positive consecutive integers such that the product of the smallest and largest is 17 more than three times the median integer.\"\r
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Algebra.Com's Answer #741244 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "let three positive consecutive integers be \"n-1\", \"n\", and \"n%2B1\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28n-1%29%2A%28n%2B1%29+=+3n%2B17\"\r
\n" ); document.write( "\n" ); document.write( "\"n%5E2-1+=+3n%2B17\"\r
\n" ); document.write( "\n" ); document.write( "\"n%5E2+-+3n+-+18+=+0\"...factor\r
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\n" ); document.write( "\n" ); document.write( "\"n%5E2+%2B3n-+6n+-+18+=+0\"\r
\n" ); document.write( "\n" ); document.write( "\"%28n%5E2+%2B3n%29-+%286n+%2B+18%29+=+0\"\r
\n" ); document.write( "\n" ); document.write( "\"n%28n+%2B3%29-+6%28n+%2B+3%29+=+0\"\r
\n" ); document.write( "\n" ); document.write( "\"%28n+-+6%29+%28n+%2B+3%29+=+0\"\r
\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( "if \"%28n+-+6%29+=+0\"->\"n=6\"\r
\n" ); document.write( "\n" ); document.write( "if \"%28n+%2B+3%29+=+0\"->\"n=-3\"\r
\n" ); document.write( "\n" ); document.write( "since you need three \"positive\" consecutive integers, use \"n=6\"\r
\n" ); document.write( "\n" ); document.write( "and three numbers are:\r
\n" ); document.write( "\n" ); document.write( "\"n-1=highlight%285%29\"
\n" ); document.write( "\"n=highlight%286%29\"
\n" ); document.write( "\"n%2B1=highlight%287%29\"\r
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\n" ); document.write( "\n" ); document.write( "check:\r
\n" ); document.write( "\n" ); document.write( "\"%28n-1%29%2A%28n%2B1%29+=+3n%2B17\"\r
\n" ); document.write( "\n" ); document.write( "\"%286-1%29%2A%286%2B1%29+=+3%2A6%2B17\"\r
\n" ); document.write( "\n" ); document.write( "\"5%2A7+=+18%2B17\"\r
\n" ); document.write( "\n" ); document.write( "\"35+=+35\"\r
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