document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=742472>Question 742472</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I was needing a little help on this problem:\r<BR>\n" );
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document.write( "What is the smallest of 3 consecutive positive integers if the product of the smaller two integers is 5 less than 5 times the largest integer?\r<BR>\n" );
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document.write( "Thank you! :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #452486 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=452486\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We are given\r<BR>\n" );
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document.write( "What is the smallest of 3 consecutive positive integers if the product of the smaller two integers is 5 less than 5 times the largest integer? \r<BR>\n" );
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document.write( "let 3 consecutive positive integers be i, i+1, i+2\r<BR>\n" );
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document.write( "then we have,\r<BR>\n" );
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document.write( "i*(i+1) = 5*(i+2)-5<BR>\n" );
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document.write( "now, we multiply and simplify\r<BR>\n" );
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document.write( "i^2+i = 5i+10-5\r<BR>\n" );
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document.write( "regroup and set equal to 0\r<BR>\n" );
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document.write( "i^2-4i-5=0\r<BR>\n" );
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document.write( "factor this expression into\r<BR>\n" );
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document.write( "(i-5)*(i+1) = 0\r<BR>\n" );
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document.write( "therefore i=5 or -1, we choose i=5 since our integers are to be positive\r<BR>\n" );
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document.write( "and our solution is the integers 5, 6, 7\r<BR>\n" );
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document.write( " </SPAN>\n" );
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