document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1145791>Question 1145791</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use a quadratic equation to find two real numbers with a sum of 2 and a product of -24. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #767041 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=767041\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use a quadratic equation to find two real numbers with a sum of 2 and a product of -24.<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "x + y = 2<BR>\n" );
document.write( "x*y = -24<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "x + y = 2 ---> y = 2-x<BR>\n" );
document.write( "Sub for y in the 2nd eqn<BR>\n" );
document.write( "==========<BR>\n" );
document.write( "x*(2-x) = -24<BR>\n" );
document.write( "x*(x-2) = 24<BR>\n" );
document.write( "x^2 - 2x - 24 = 0<BR>\n" );
document.write( "======<BR>\n" );
document.write( "Here, find 2 factors of -24 that differ by 2<BR>\n" );
document.write( "---> -6 & 4 :    Obviously the \"answer\" -- no quadratic is needed.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "(x-6)*(x+4) = 0<BR>\n" );
document.write( "---> 6 and -4<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );