document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1046508>Question 1046508</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The product of three consecutive integers is 185136. What is the sum of these integers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #661939 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=661939\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let three consecutive integers be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x ALIGN=MIDDLE  ALT=\"+x\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B1%29 ALIGN=MIDDLE  ALT=\"%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,and<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29 ALIGN=MIDDLE  ALT=\"%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "given: The product of three consecutive integers is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=185136 ALIGN=MIDDLE  ALT=\"185136\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "so, we have \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%28x%2B1%29%28x%2B2%29=185136 ALIGN=MIDDLE  ALT=\"+x%28x%2B1%29%28x%2B2%29=185136\"   DISABLED_style= \"max-width:90%; height:auto;\" > ...solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%5E2%2Bx%29%28x%2B2%29=185136 ALIGN=MIDDLE  ALT=\"+%28x%5E2%2Bx%29%28x%2B2%29=185136\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E3%2Bx%5E2%2B2x%5E2%2B2x=185136 ALIGN=MIDDLE  ALT=\"+x%5E3%2Bx%5E2%2B2x%5E2%2B2x=185136\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E3%2B3x%5E2%2B2x-185136=0 ALIGN=MIDDLE  ALT=\"+x%5E3%2B3x%5E2%2B2x-185136=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >...factor\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E3%2B59x%5E2-56x%5E2%2B3306x-56%2A59x-56%2A3306=0 ALIGN=MIDDLE  ALT=\"+x%5E3%2B59x%5E2-56x%5E2%2B3306x-56%2A59x-56%2A3306=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%5E3-56x%5E2%29%2B%2859x%5E2-56%2A59x%29%2B%283306x-56%2A3306%29=0 ALIGN=MIDDLE  ALT=\"+%28x%5E3-56x%5E2%29%2B%2859x%5E2-56%2A59x%29%2B%283306x-56%2A3306%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2%28x-56%29%2B59x%28x-56%29%2B3306%28x-56%29=0 ALIGN=MIDDLE  ALT=\"+x%5E2%28x-56%29%2B59x%28x-56%29%2B3306%28x-56%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-56%29%28x%5E2%2B59x%2B3306%29+=+0 ALIGN=MIDDLE  ALT=\"%28x-56%29%28x%5E2%2B59x%2B3306%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "real solution is: <BR>\n" );
document.write( "if<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-56%29=+0 ALIGN=MIDDLE  ALT=\"%28x-56%29=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >-><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=56%29 ALIGN=MIDDLE  ALT=\"highlight%28x=56%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2B59x%2B3306%29+=+0 ALIGN=MIDDLE  ALT=\"%28x%5E2%2B59x%2B3306%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >...coefficient <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=3306 ALIGN=MIDDLE  ALT=\"c=3306\"   DISABLED_style= \"max-width:90%; height:auto;\" > is positive and greater than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=59 ALIGN=MIDDLE  ALT=\"b=59\"   DISABLED_style= \"max-width:90%; height:auto;\" > and we will have complex solutions; so, disregard it\r<BR>\n" );
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document.write( "first integer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2856%29 ALIGN=MIDDLE  ALT=\"highlight%2856%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "next one is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2857%29 ALIGN=MIDDLE  ALT=\"highlight%2857%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "next one is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2858%29 ALIGN=MIDDLE  ALT=\"highlight%2858%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "check their product: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=56%2A57%2A58=185136 ALIGN=MIDDLE  ALT=\"56%2A57%2A58=185136\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is true\r<BR>\n" );
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document.write( "now find their sum: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=56%2B57%2B58=171 ALIGN=MIDDLE  ALT=\"56%2B57%2B58=171\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, the sum of these integers is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28171%29 ALIGN=MIDDLE  ALT=\"highlight%28171%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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