document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1091246>Question 1091246</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The positive geometric mean of two numbers is 8, and the difference of the numbers is 30. 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 #705647 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=705647\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the square root (2 numbers so square root) of their product is equal to 8<BR>\n" );
document.write( "therefore the product is 64<BR>\n" );
document.write( "a*b=64<BR>\n" );
document.write( "a-b=30<BR>\n" );
document.write( "a=b+30<BR>\n" );
document.write( "substitute<BR>\n" );
document.write( "(b+30)*b=64<BR>\n" );
document.write( "b^2+30b-64=0<BR>\n" );
document.write( "(b+32)(b-2)=0<BR>\n" );
document.write( "b=-32 and b=2<BR>\n" );
document.write( "a=-2 and a=32, want only the positive root.\r<BR>\n" );
document.write( "\n" );
document.write( "the numbers are 2 and 32. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );