document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=521728>Question 521728</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the sum of two numbers is 9 and their product is 20. use a quadratic equation to determine the two numbers<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #346570 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=346570\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the two numbers be A and B. Then...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2BB+=+9 ALIGN=MIDDLE  ALT=\"A%2BB+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" > and...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2AB+=+20 ALIGN=MIDDLE  ALT=\"A%2AB+=+20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Rewrite the first equation as:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+9-B ALIGN=MIDDLE  ALT=\"A+=+9-B\"   DISABLED_style= \"max-width:90%; height:auto;\" > and substitute for a in the second equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289-B%29%2AB+=+20 ALIGN=MIDDLE  ALT=\"%289-B%29%2AB+=+20\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9B-B%5E2+=+20 ALIGN=MIDDLE  ALT=\"9B-B%5E2+=+20\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite as a quadratic equation in standard form.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-B%5E2%2B9B-20+=+0 ALIGN=MIDDLE  ALT=\"-B%5E2%2B9B-20+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Apply the quadratic formula: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a ALIGN=MIDDLE  ALT=\"x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a\"   DISABLED_style= \"max-width:90%; height:auto;\" > (x is really B, one of the two numbers). In this problem, from the quadratic equation, a = -1, b = 9, and c = -20.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+=+%28-9%2B-sqrt%289%5E2-4%28-1%29%28-20%29%29%29%2F2%28-1%29 ALIGN=MIDDLE  ALT=\"B+=+%28-9%2B-sqrt%289%5E2-4%28-1%29%28-20%29%29%29%2F2%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+=+4.5%2B%28-0.5%29 ALIGN=MIDDLE  ALT=\"B+=+4.5%2B%28-0.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+=+4.5-%28-0.5%29 ALIGN=MIDDLE  ALT=\"B+=+4.5-%28-0.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+=+4 ALIGN=MIDDLE  ALT=\"B+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+=+5 ALIGN=MIDDLE  ALT=\"B+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The two numbers are 4 and 5. </SPAN>\n" );
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