document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=799680>Question 799680</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The arithmetic mean of two numbers is 5 and the geometric means of the same numbers is 3.find the numbers </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #482749 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=482749\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The two numbers are x and y.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2By%29%2F2=5 ALIGN=MIDDLE  ALT=\"%28x%2By%29%2F2=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28xy%29=3 ALIGN=MIDDLE  ALT=\"sqrt%28xy%29=3\"   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%2By=2%2A5=10 ALIGN=MIDDLE  ALT=\"x%2By=2%2A5=10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=10-x ALIGN=MIDDLE  ALT=\"y=10-x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%28y%29%29=sqrt%28x%2810-x%29%29=3 ALIGN=MIDDLE  ALT=\"sqrt%28x%28y%29%29=sqrt%28x%2810-x%29%29=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2810x-x%5E2%29=3 ALIGN=MIDDLE  ALT=\"sqrt%2810x-x%5E2%29=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Square both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x-x%5E2=9 ALIGN=MIDDLE  ALT=\"10x-x%5E2=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x-x%5E2-9=0 ALIGN=MIDDLE  ALT=\"10x-x%5E2-9=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-10x%2B9=0 ALIGN=MIDDLE  ALT=\"x%5E2-10x%2B9=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-9%29%28x-1%29=0 ALIGN=MIDDLE  ALT=\"%28x-9%29%28x-1%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "x=9 or x=1<BR>\n" );
document.write( "y=10-9 or y=10-1<BR>\n" );
document.write( "y=1 or y=9\r<BR>\n" );
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document.write( "ANSWER:  Either way, the two numbers are 9 and 1. </SPAN>\n" );
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