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 #643251 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=643251\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find all complex numbers z such that z^2 = 2i.<BR>\n" );
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document.write( "z^2 = 2cis90<BR>\n" );
document.write( "z = sqrt(2)cis(45), sqrt(2)cis(225)<BR>\n" );
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document.write( "z = sqrt(2)*sqrt(2)/2 + isqrt(2)*sqrt(2)/2<BR>\n" );
document.write( "= 1 + i<BR>\n" );
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document.write( "z = sqrt(2)cis(225)<BR>\n" );
document.write( "sqrt(2)*(-sqrt(2)/2) + i*sqrt(2)*(-sqrt(2)/2)<BR>\n" );
document.write( "= -1 - i<BR>\n" );
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