document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=40835>Question 40835</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0072499788/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> the sum of two integers is 10 and their product is 24.  Find the two integers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #26234 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=26234\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If one of them is x, then the other must be 10 - x...they add to 10, right?<BR>\n" );
document.write( "Thus we have<BR>\n" );
document.write( "x(10 - x) = 24<BR>\n" );
document.write( "10x - x^2 = 24<BR>\n" );
document.write( "x^2 - 10x + 24 = 0<BR>\n" );
document.write( "(x - 6)(x - 4) = 0<BR>\n" );
document.write( "X = 6 and 4 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );