document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1039297>Question 1039297</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello! So I'm having a hard time on this problem. I know it involves some stuff from Algebra I, but my mind's not in the right place today. So here goes: Find 3 numbers that have a sum of 30 and a product of 910, and form an arithmetic sequence. Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #654050 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</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=654050\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A possible way to get lost from mistakes is to perform substitution too early.<BR>\n" );
document.write( "Substituting for d may be easier than for x.\r<BR>\n" );
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document.write( "Three numbers in arithmetic sequence: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x%2Cx%2Bd%2Cx%2B2d%29 ALIGN=MIDDLE  ALT=\"system%28x%2Cx%2Bd%2Cx%2B2d%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and their sum:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Bx%2Bd%2Bx%2B2d=30 ALIGN=MIDDLE  ALT=\"x%2Bx%2Bd%2Bx%2B2d=30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B3d=30 ALIGN=MIDDLE  ALT=\"3x%2B3d=30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Bd=10 ALIGN=MIDDLE  ALT=\"x%2Bd=10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "from which you could later use  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28d=10-x%29 ALIGN=MIDDLE  ALT=\"highlight_green%28d=10-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "The product of 910:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28x%28x%2Bd%29%28x%2B2d%29=910%29 ALIGN=MIDDLE  ALT=\"highlight_green%28x%28x%2Bd%29%28x%2B2d%29=910%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "NOW SUBSTITUTE FOR d.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x%2B10-x%29%28x%2B2%2810-x%29%29=910 ALIGN=MIDDLE  ALT=\"x%28x%2B10-x%29%28x%2B2%2810-x%29%29=910\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and skipping the simplification steps,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28highlight_green%28x%5E2-20x%2B91=0%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28highlight_green%28x%5E2-20x%2B91=0%29%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-13%29%28x-7%29=0 ALIGN=MIDDLE  ALT=\"%28x-13%29%28x-7%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28Either%2Cx=13%2COR%2Cx=7%29 ALIGN=MIDDLE  ALT=\"system%28Either%2Cx=13%2COR%2Cx=7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-<BR>\n" );
document.write( "What can be the common difference, d?  Do they both work?  Maybe.<BR>\n" );
document.write( "If x=13, then d=-3;<BR>\n" );
document.write( "If x=7, then d=3.\r<BR>\n" );
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document.write( "Note from description, the sum must be positive and the product must be positive.<BR>\n" );
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document.write( "13, 10, 7<BR>\n" );
document.write( "OR<BR>\n" );
document.write( "7, 10, 13<BR>\n" );
document.write( "Are the numbers.<BR>\n" );
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document.write( " </SPAN>\n" );
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