document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=45305>Question 45305</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Directions: Solve the equation by completing the square. Express any complex numbers using i notation. \r<BR>\n" );
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document.write( "2x^2+4x+1=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #30117 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=30117\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Okay from<BR>\n" );
document.write( "2x^2 + 4x + 1 = 0<BR>\n" );
document.write( "the first thing we do is divide by 2 and get<BR>\n" );
document.write( "x^2 + 2x + 1/2 = 0 <BR>\n" );
document.write( "then complete the square<BR>\n" );
document.write( "x^2 + 2x + 1 = 1/2<BR>\n" );
document.write( "(x + 1)^2 = 1/2<BR>\n" );
document.write( "now take the root<BR>\n" );
document.write( "x + 1 = ± sqrt(1/2)<BR>\n" );
document.write( "x = -1 ± sqrt(1/2)<BR>\n" );
document.write( "x = -1 ± [sqrt(2) / 2] </SPAN>\n" );
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