document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=66786>Question 66786</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1+ or - 3i/2=       ?????????????????<BR>\n" );
document.write( "How do you do it? Please help , Thank You<BR>\n" );
document.write( "(This question didn't come out of a book, our teacher gave it to us on a paper.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #47476 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=47476\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the equation if the roots are<BR>\n" );
document.write( "1+ or - 3i/2<BR>\n" );
document.write( "If 1+(3/2)i is a root, (x-1-(3/2)i) is a factor<BR>\n" );
document.write( "If 1-(3/2)i is a root, (x-1+(3/2)i) is a factor<BR>\n" );
document.write( "These factors are arranged in the form (a-b)(a+b)<BR>\n" );
document.write( "whose product is a^2-b^2.  So you get:<BR>\n" );
document.write( "y=((x-1)-(3/2)i)((x-1)+(3/2)i)<BR>\n" );
document.write( "y=[(x-1)^2 - (3/2 i)^2]<BR>\n" );
document.write( "y=[x^2-2x+1+(9/4)]<BR>\n" );
document.write( "y=[x^2-2x+13/4]<BR>\n" );
document.write( "or<BR>\n" );
document.write( "y=(1/4)x^2-(1/2)x+13<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );