document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=133737>Question 133737</A>: <I><SPAN STYLE=\"word-break: break-all;\"> am trying to figure out a problem, that I cannot, for the life of me seem to answer by showing my work. The answer is supposed to be either -1&-2 or 3&4.\r<BR>\n" );
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document.write( "Here is my question.\r<BR>\n" );
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document.write( "The sum of two consecutive integers is 5 less than their product. Find the integers.\r<BR>\n" );
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document.write( "I found them, but I cannot show HOW I got them. ??\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #97853 by </B><A HREF=/tutors/aboutme.mpl?userid=dolly><B>dolly(163)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dolly><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=97853\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi,<BR>\n" );
document.write( "I'll help you out.\r<BR>\n" );
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document.write( "Let the consecutive integers be x, x+1.\r<BR>\n" );
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document.write( "Then by the given data,\r<BR>\n" );
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document.write( "x(x+1) = x + x+1 + 5<BR>\n" );
document.write( "==> x^2 + x = 2x + 6<BR>\n" );
document.write( "==> x^2 + x - 2x - 6 = 0<BR>\n" );
document.write( "==> x^2 - x - 6 = 0<BR>\n" );
document.write( "==> x^2 - 3x + 2x - 6 = 0<BR>\n" );
document.write( "==> x(x - 3) + 2(x - 3) = 0<BR>\n" );
document.write( "==> (x - 3) (x + 2) = 0<BR>\n" );
document.write( "==> x - 3 = 0 or x + 2 = 0<BR>\n" );
document.write( "==> x = 3 or x = -2<BR>\n" );
document.write( "If x = 3, then other number is 4 [as (x+1)]<BR>\n" );
document.write( "So the integers are 3 and 4.\r<BR>\n" );
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document.write( "If x = -2, then the other number is  = -1 [ as x+1]<BR>\n" );
document.write( "So the integers are -2 and -1.\r<BR>\n" );
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document.write( "Hope this helps.\r<BR>\n" );
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document.write( "good luck!!!\r<BR>\n" );
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