document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1184218>Question 1184218</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283%2F2+%2B+isqrt%283%29%2F2%29%5E50+=+3%5E25%28x+%2B+iy%29+ ALIGN=MIDDLE  ALT=\"+%283%2F2+%2B+isqrt%283%29%2F2%29%5E50+=+3%5E25%28x+%2B+iy%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > where x and y are real numbers then find x and y?<BR>\n" );
document.write( "Note: Here sqrt(3) means square root of 3. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #814780 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=814780\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F2+%2B+%28sqrt%283%29%2F2%29i%29%5E50+=+%28sqrt%283%29red%28%28sqrt%283%29%2F2+%2B+%281%2F2%29i%29%29%29%5E50+=+%0D%0A3%5E%2850%2F2%29%2A%28sqrt%283%29%2F2+%2B+%281%2F2%29i%29%5E50+=+3%5E25%2A%28sqrt%283%29%2F2+%2B+%281%2F2%29%2Ai%29%5E50++=+3%5E25%2A%28e%5E%28%28pi%2F6%29%2Ai%29%29%5E50+=+3%5E25%2Ae%5E%28%28%2850%2Api%29%2F6%29%2Ai%29+=+3%5E25%2Ae%5E%28%28%2825%2Api%29%2F3%29%2Ai%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E25%2A%28cos%28%2825%2Api%29%2F3%29+%2B+i%2Asin%28%2825%2Api%29%2F3%29%29+=+3%5E25%2A%281%2F2+%2B+i%2A%28sqrt%283%29%2F2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "By comparing the last term in the chain of equality with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E25%28x+%2B+iy%29+ ALIGN=MIDDLE  ALT=\"3%5E25%28x+%2B+iy%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, it follows that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+1%2F2 ALIGN=MIDDLE  ALT=\"x+=+1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+sqrt%283%29%2F2 ALIGN=MIDDLE  ALT=\"y+=+sqrt%283%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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