document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=130359>Question 130359</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find two positive numbers that differ by 2 and have a product of 20. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #95215 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=95215\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One number: x<BR>\n" );
document.write( "The other number: y<BR>\n" );
document.write( "The difference: x - y<BR>\n" );
document.write( "They differ by 2:  x - y = 2<BR>\n" );
document.write( "Their product is 20: x * y = 20\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-y=2 ALIGN=MIDDLE  ALT=\"x-y=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2%2By ALIGN=MIDDLE  ALT=\"x=2%2By\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy=20 ALIGN=MIDDLE  ALT=\"xy=20\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2By%29y=20 ALIGN=MIDDLE  ALT=\"%282%2By%29y=20\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2%2B2y-20=0 ALIGN=MIDDLE  ALT=\"y%5E2%2B2y-20=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-2%2B-sqrt%284-%284%29%281%29%28-20%29%29%29%2F2 ALIGN=MIDDLE  ALT=\"y=%28-2%2B-sqrt%284-%284%29%281%29%28-20%29%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-2%2B-sqrt%2884%29%29%2F2 ALIGN=MIDDLE  ALT=\"y=%28-2%2B-sqrt%2884%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-2%2B2%2Asqrt%2821%29%29%2F2 ALIGN=MIDDLE  ALT=\"y=%28-2%2B2%2Asqrt%2821%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-2-2%2Asqrt%2821%29%29%2F2 ALIGN=MIDDLE  ALT=\"y=%28-2-2%2Asqrt%2821%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-1%2Bsqrt%2821%29 ALIGN=MIDDLE  ALT=\"y=-1%2Bsqrt%2821%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-1-sqrt%2821%29 ALIGN=MIDDLE  ALT=\"y=-1-sqrt%2821%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "But <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-1-sqrt%2821%29%3C0 ALIGN=MIDDLE  ALT=\"y=-1-sqrt%2821%29%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and the problem asked for positive numbers so exclude this root.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-1%2Bsqrt%2821%29 ALIGN=MIDDLE  ALT=\"y=-1%2Bsqrt%2821%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2%2By=2-1%2Bsqrt%2821%29=1%2Bsqrt%2821%29 ALIGN=MIDDLE  ALT=\"x=2%2By=2-1%2Bsqrt%2821%29=1%2Bsqrt%2821%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Check:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Bsqrt%2821%29-%28-1%2Bsqrt%2821%29%29=2 ALIGN=MIDDLE  ALT=\"1%2Bsqrt%2821%29-%28-1%2Bsqrt%2821%29%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Bsqrt%2821%29%29%28-1%2Bsqrt%2821%29%29=-1%2Bsqrt%2821%29-sqrt%2821%29%2B21=20 ALIGN=MIDDLE  ALT=\"%281%2Bsqrt%2821%29%29%28-1%2Bsqrt%2821%29%29=-1%2Bsqrt%2821%29-sqrt%2821%29%2B21=20\"   DISABLED_style= \"max-width:90%; height:auto;\" > Answer checks. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );