document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1081103>Question 1081103</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given that (x + i y)^2 = i , find x and y where i is imaginary number,x and y are real. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #695182 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=695182\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given that (x + i y)^2 = i , find x and y where i is imaginary number,x and y are real.<BR>\n" );
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document.write( "(x + iy)^2 = i<BR>\n" );
document.write( "x^2 + 2ixy + i^2y^2 = i<BR>\n" );
document.write( "x^2 + 2ixy - y^2 = 0 + i<BR>\n" );
document.write( "x^2 - y^2 = 0<BR>\n" );
document.write( "2xy = 1 --> y = 1/(2x)<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "x^2 - 1/(4x^2) = 0<BR>\n" );
document.write( "x^4 - 1/4 = 0<BR>\n" );
document.write( "x = -sqrt(2)/2, y = -2sqrt(2)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "x = +sqrt(2)/2, y = 2sqrt(2)\r<BR>\n" );
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document.write( " </SPAN>\n" );
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