document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=507830>Question 507830</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Story Problem: One number is 2 more than 5 times the other.  Their product is 24.\r<BR>\n" );
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document.write( "These are the formulas that I came up with for this story problem, but after substitution method I get the polynomial and get stumped on how to solve them.\r<BR>\n" );
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document.write( "xy=24<BR>\n" );
document.write( "x=2+5y\r<BR>\n" );
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document.write( "(2+5y)y=24    5y^2 +2y=24   where do I go from here?     </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #340731 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=340731\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You're OK so far:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y%5E2%2B2y+=+24 ALIGN=MIDDLE  ALT=\"5y%5E2%2B2y+=+24\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 24 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y%5E2%2B2y-24+=+0 ALIGN=MIDDLE  ALT=\"5y%5E2%2B2y-24+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now you have a quadratic equation which you can solve using the quadratic formula: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a ALIGN=MIDDLE  ALT=\"y+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a\"   DISABLED_style= \"max-width:90%; height:auto;\" > and here...a=5, b=2, and c=-24. Make the appropriate substitutions:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-2%2B-sqrt%282%5E2-4%285%29%28-24%29%29%29%2F2%285%29 ALIGN=MIDDLE  ALT=\"y+=+%28-2%2B-sqrt%282%5E2-4%285%29%28-24%29%29%29%2F2%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-2%2B-sqrt%284-%28-480%29%29%29%2F10 ALIGN=MIDDLE  ALT=\"y+=+%28-2%2B-sqrt%284-%28-480%29%29%29%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-2%2B-sqrt%28484%29%29%2F10 ALIGN=MIDDLE  ALT=\"y+=+%28-2%2B-sqrt%28484%29%29%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B1%5D+=+-0.2%2B2.2 ALIGN=MIDDLE  ALT=\"y%5B1%5D+=+-0.2%2B2.2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B2%5D+=+-0.2-2.2 ALIGN=MIDDLE  ALT=\"y%5B2%5D+=+-0.2-2.2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B1%5D+=+2 ALIGN=MIDDLE  ALT=\"y%5B1%5D+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B2%5D+=+-2.4 ALIGN=MIDDLE  ALT=\"y%5B2%5D+=+-2.4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D+=+2%2B5y ALIGN=MIDDLE  ALT=\"x%5B1%5D+=+2%2B5y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D+=+2%2B5%282%29 ALIGN=MIDDLE  ALT=\"x%5B1%5D+=+2%2B5%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D+=+12 ALIGN=MIDDLE  ALT=\"x%5B1%5D+=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" > or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2%5D+=+2%2B5%28-2.4%29 ALIGN=MIDDLE  ALT=\"x%5B2%5D+=+2%2B5%28-2.4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2%5D+=+2%2B%28-12%29 ALIGN=MIDDLE  ALT=\"x%5B2%5D+=+2%2B%28-12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2%5D+=+-10 ALIGN=MIDDLE  ALT=\"x%5B2%5D+=+-10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So there are two pairs of numbers that will satisfy the given constraints:<BR>\n" );
document.write( "2 and 12<BR>\n" );
document.write( "-2.4 and -10 </SPAN>\n" );
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