document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=443124>Question 443124</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If one root of a quadratic equation is 1/2-2i, what is the equation?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #305782 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=305782\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If one root of a quadratic equation is 1/2-2i, what is the equation? <BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > - 2i<BR>\n" );
document.write( "We can write it<BR>\n" );
document.write( "x = .5 - 2i<BR>\n" );
document.write( "x - .5 = -2i<BR>\n" );
document.write( "Square both sides, FOIL the left side<BR>\n" );
document.write( "x^2 - 1x + .25 = 4i^2<BR>\n" );
document.write( "we know i^2 = -1, therefore<BR>\n" );
document.write( "x^2 - x + .25 = 4(-1)<BR>\n" );
document.write( "x^2 - x + .25 = -4<BR>\n" );
document.write( "x^2 - x + .25 + 4 = 0<BR>\n" );
document.write( "x^2 - x + 4.25 = 0; the equation </SPAN>\n" );
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