document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1028076>Question 1028076</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all complex numbers z such that z^2 = 2i.\r<BR>\n" );
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document.write( "Write your solutions in a+bi form, separated by commas. So, \"1+2i, 3-i\" is an acceptable answer format, but \"2i+1; -i+3\" is not. (Don't include quotes in your answer.)\r<BR>\n" );
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document.write( "Note: This problem is not about functions. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #643252 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=643252\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the fact that <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large 2i = 2e^{i \frac{\pi}{2}}\">\r<BR>\n" );
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document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large z^2 = 2i\"> you can conclude that the magnitude of z is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large \sqrt{2}\">.\r<BR>\n" );
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document.write( "Then you can conclude that <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large z = 1+i\"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large z = -1-i\"> are the solutions. Since the equation is quadratic, it must have at most two complex solutions, including multiple roots. </SPAN>\n" );
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