document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=79539>Question 79539</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The product of two consecutive integers is 71 more than their sum.  Find the integers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #57075 by </B><A HREF=/tutors/aboutme.mpl?userid=fetter6><B>fetter6(6)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fetter6><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=57075\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let n and n+1 be the two consecutive integers.  We know that <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%28n%2B1%29=n%2B%28n%2B1%29%2B71 ALIGN=MIDDLE  ALT=\"n%28n%2B1%29=n%2B%28n%2B1%29%2B71\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply out the left hand side and simplify the right hand side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2%2Bn=2n%2B72 ALIGN=MIDDLE  ALT=\"n%5E2%2Bn=2n%2B72\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  \r<BR>\n" );
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document.write( "Now set the equation to 0.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2-n-72=0 ALIGN=MIDDLE  ALT=\"n%5E2-n-72=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Factor the left hand side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n-9%29%28n%2B8%29=0 ALIGN=MIDDLE  ALT=\"%28n-9%29%28n%2B8%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So n=9,-8.\r<BR>\n" );
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document.write( "So we have two solutions:<BR>\n" );
document.write( "1.  n=9, n+1=10   solution pair (9,10)<BR>\n" );
document.write( "2.  n=-8, n+1=-7   solution pair (-8,-7)\r<BR>\n" );
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document.write( "Check your answer with both of these to convince yourself that you are right. </SPAN>\n" );
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