document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=142126>Question 142126</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the product of two positive numbers is 1, and the sum of their squares is 82/9. Find these numbers. (My last post didn't supply enough info, sorry.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #103493 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=103493\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let b be one and s be the other.<BR>\n" );
document.write( "bs=1<BR>\n" );
document.write( "b^2+s^2=82/9<BR>\n" );
document.write( ".<BR>\n" );
document.write( "b=1/s<BR>\n" );
document.write( "(1/s)^2+s^2=82/9<BR>\n" );
document.write( "1/s^2 + s^2=82/9<BR>\n" );
document.write( "9+9s^4=82s^2<BR>\n" );
document.write( "9s^4-82s^2+9=0<BR>\n" );
document.write( "9s^4-81s^2-s^2+9=0 Factoring by grouping.<BR>\n" );
document.write( "9s^2(s^2-9)-(s^2-9)=0<BR>\n" );
document.write( "(9s^2-1)(s^2-9)=0<BR>\n" );
document.write( "(3s+1)(3s-1)(s+3)(s-3)=0<BR>\n" );
document.write( "3s=1 s=1/3<BR>\n" );
document.write( "s=3<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "3* 1/3 = 1 true<BR>\n" );
document.write( "3^2+(1/3)^2=9 1/9 =82/9 true<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );