document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=67237>Question 67237</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/1565770390/algebrahomeworkh>Advanced mathematics</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Write the quadratic equation with a lead coefficient of 1 whose roots are 2-3i and 2+3i. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #47793 by </B><A HREF=/tutors/aboutme.mpl?userid=Nate><B>Nate(3500)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Nate><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=47793\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (x - (2 - 3i))(x - (2 + 3i))<BR>\n" );
document.write( "(x - 2 + 3i)(x - 2 - 3i)<BR>\n" );
document.write( "x^2 - 2x + 3xi - 2x + 4 - 6i - 3xi + 6i + 9<BR>\n" );
document.write( "x^2 - 4x + 13 = f(x)<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "x^2 - 4x = -13<BR>\n" );
document.write( "(x - 2)^2 = -9<BR>\n" );
document.write( "x - 2 = +- 3i<BR>\n" );
document.write( "x = 2 +- 3i </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );