document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=383885>Question 383885</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help. Find the vertex and the roots. Based upon the discriminant, describe the roots. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2-2x%2B5=0+ ALIGN=MIDDLE  ALT=\"+x%5E2-2x%2B5=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #271780 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=271780\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the vertex and the roots. Based upon the discriminant, describe the roots. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2-2x%2B5=0+ ALIGN=MIDDLE  ALT=\"+x%5E2-2x%2B5=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The line of symmetry is x = -b/2a = 4/2 = 2<BR>\n" );
document.write( "The vertex is (2,f(2)) = (2,5)<BR>\n" );
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document.write( "Disc = b^2 - 4ac = 4 - 4*1*5 = -16<BR>\n" );
document.write( "The roots are complex.<BR>\n" );
document.write( "x = (2 ± sqrt(-16) )/2<BR>\n" );
document.write( "x = 1 ± 2i </SPAN>\n" );
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