document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1143567>Question 1143567</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the sum of two intergers is -33 and their product is 162.develop a quadratic equation and then solve to find the value of the two intergers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #764406 by </B><A HREF=/tutors/aboutme.mpl?userid=addingup><B>addingup(3677)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=addingup><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=addingup><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=764406\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x + y = -33<BR>\n" );
document.write( "y = (-33 - x)<BR>\n" );
document.write( "therefore:<BR>\n" );
document.write( "(-33 - x) + x = -33<BR>\n" );
document.write( "and:<BR>\n" );
document.write( "(-33 - x) * x = 162<BR>\n" );
document.write( "Now let's set up the quadratic and then solve:<BR>\n" );
document.write( "-33x - x^2 = 162<BR>\n" );
document.write( "-33x - x^2 -162 = 0<BR>\n" );
document.write( "let's write it in the standard form ax^2 + bx + c = 0:<BR>\n" );
document.write( "-x^2 - 33x - 162 = 0<BR>\n" );
document.write( "(−x − 6)(x + 27) = 0<BR>\n" );
document.write( "−x − 6 = 0 or x + 27 = 0<BR>\n" );
document.write( "x = −6 or x = −27<BR>\n" );
document.write( "Our two numbers are -6 and -27 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );