document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=912341>Question 912341</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me solve this problem: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=find+two+consecutive+numbers+whose+product+is+72 ALIGN=MIDDLE  ALT=\"find+two+consecutive+numbers+whose+product+is+72\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #553734 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=553734\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Better is you not use rendering tags for the description.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "\"find two consecutive numbers whose product is 72\"\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "You should remember the basic multiplication fact, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2A8=8%2A9=72 ALIGN=MIDDLE  ALT=\"9%2A8=8%2A9=72\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Knowing this, you can do the algebra exercise and know in advance if your result is wrong or correct.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Two number, x and x+1.  You assume x is an integer, probably a whole number.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x%2B1%29=72 ALIGN=MIDDLE  ALT=\"x%28x%2B1%29=72\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Bx=72 ALIGN=MIDDLE  ALT=\"x%5E2%2Bx=72\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Bx-72=0 ALIGN=MIDDLE  ALT=\"x%5E2%2Bx-72=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You then hope to be able to factorize the trinomial left member, and knowing your basic multiplication facts, you find that 8 and 9 are good choices to start with so....<BR>\n" );
document.write( "(x-8)(x+9)=0 seems to work.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Your description uses, \"consecutive numbers\", which could possibly be INTEGERS, meaning POSITIVE AND NEGATIVE WHOLE NUMBERS.  \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Looking just first for solutions to x, <BR>\n" );
document.write( "x=8  OR  x=-9.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now, you want to evaluate the consecutive number.<BR>\n" );
document.write( "For x=8, the next number is 9.<BR>\n" );
document.write( "For x=-9, the next number is -8.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "You then really have TWO possible answers.<BR>\n" );
document.write( "The numbers you want are 8 and 9<BR>\n" );
document.write( "OR<BR>\n" );
document.write( "The numbers you want can be -9 and -8.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Those are your TWO SOLUTIONS. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );