document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=876013>Question 876013</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the quadratic equation with integral coefficient whose roots are 9 +- (plus or minus) i </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #528531 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=528531\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the roots are 9 +/- i\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "start with x = 9 + i and x = 9 - i\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "to get the factors, set these equations equal to 0.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you do that as follows:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x = 9 + i<BR>\n" );
document.write( "subtract 9 and subtract i from both sides of the equation to get:<BR>\n" );
document.write( "x - 9 - i = 0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x = 9 - i<BR>\n" );
document.write( "subtract 9 and subtract i from both sides of the equation to get:<BR>\n" );
document.write( "x - 9 + i = 0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "your factors are:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(x - 9 - i) and (x - 9 + i)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "now you have to multiply these factors together:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "use your distributive law to do this.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "look at the picture to see the calculations.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2014/may2004.jpg\" alt=\"$$$\" </>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the next picture shows the factoring of the quadratic equation to confirm the solution is good.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2014/may2005.jpg\" alt=\"$$$\" </>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "any questions, send me an email.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );