document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=790409>Question 790409</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The aritimetic mean of two numbers is 5 and the geometric mean is 4. Which of the following are the numbers? Indicate all correct options.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #479133 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=479133\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let  the numbers be x & y\r<BR>\n" );
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document.write( "(x+y)/2 = 5<BR>\n" );
document.write( "x+y=10\r<BR>\n" );
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document.write( "GM = sqrt(xy)\r<BR>\n" );
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document.write( "4 = sqrt(xy)<BR>\n" );
document.write( "16 = xy\r<BR>\n" );
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document.write( "16/y =x\r<BR>\n" );
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document.write( "16/y + y =10\r<BR>\n" );
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document.write( "multiply by y\r<BR>\n" );
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document.write( "16+y^2=10y\r<BR>\n" );
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document.write( "y^2-10y+16=0\r<BR>\n" );
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document.write( "y^2-8y-2y+16=0\r<BR>\n" );
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document.write( "y(y-8)-2(y-8)=0\r<BR>\n" );
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document.write( "(y-8)(y-2)=0\r<BR>\n" );
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document.write( "y = 8 OR y=2\r<BR>\n" );
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document.write( "when y = 8 x=2\r<BR>\n" );
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document.write( "when y = 2 x=8 </SPAN>\n" );
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