document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=101116>Question 101116</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0495105104/algebrahomeworkh>Algebra for College Students</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Find two numbers such that their sum is 10 and their product is 22. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #73846 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=73846\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A)x+y=10<BR>\n" );
document.write( "B)xy=22<BR>\n" );
document.write( ".<BR>\n" );
document.write( "y=22/x from B)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "x+(22/x)=10 substitute 22/x for y in A)<BR>\n" );
document.write( "x^2+22=10x multiply x times each side.<BR>\n" );
document.write( "x^2-10+22=0<BR>\n" );
document.write( "Quadratic formula: x=5+sqrt(3) or x=5-sqrt(3)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "When x=5+sqrt(3) y=10-(5+sqrt(3))=10-5-sqrt(3)=5-sqrt(3)<BR>\n" );
document.write( "When x=5-sqrt(3) y=10-(5-sqrt(3))=10-5+sqrt(3)=5+sqrt(3)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "5+sqrt(3)+5-sqrt(3)=10<BR>\n" );
document.write( "(5+sqrt(3))*(5-sqrt(3))=25-3=22<BR>\n" );
document.write( "Ed\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );