document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=5071>Question 5071</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Q. If one complex zero of a quadratic equation is 2 + i, what is the quadratic equation in ax^2 + bx + c = 0<BR>\n" );
document.write( "thanks, Mike </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #2563 by </B><A HREF=/tutors/aboutme.mpl?userid=ichudov><B>ichudov(507)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ichudov><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=ichudov><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=2563\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This question assumes that the numbers a, b, c are real number. \r<BR>\n" );
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document.write( "Because the roots of the equation are complex, they are of form 2+i and 2-i. \r<BR>\n" );
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document.write( "The equation is a trinomial that is a product of two binomials \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-%282%2Bi%29%29%2A%28x-%282-i%29%29+=+x%5E2-%28%282%2Bi%29%2B%282-i%29%29x+%2B+%282-i%29%2A%282%2Bi%29+=+x%5E2-4x%2B4-%28i%5E2%29+=+x%5E2+-+4x%2B5 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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