document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=5318>Question 5318</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is sqrt of i? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #2705 by </B><A HREF=/tutors/aboutme.mpl?userid=ichudov><B>ichudov(507)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ichudov><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=ichudov><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=2705\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> well, it is easy.\r<BR>\n" );
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document.write( "you need to find numbers a and b such that \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28a%2Bbi%29%5E2+=+0+%2B+i+ ALIGN=MIDDLE  ALT=\"+%28a%2Bbi%29%5E2+=+0+%2B+i+\"   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=+a%5E2+%2B+2abi+-+b%5E2+=+0+%2B+i ALIGN=MIDDLE  ALT=\"+a%5E2+%2B+2abi+-+b%5E2+=+0+%2B+i\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the real parts and imaginary parts should match\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0A++system%28+a%5E2-b%5E2+=+0%2C+%0D%0A++++++++++2ab+=+1%0D%0A+++++++++%29%0D%0A ALIGN=MIDDLE  ALT=\"%0D%0A++system%28+a%5E2-b%5E2+=+0%2C+%0D%0A++++++++++2ab+=+1%0D%0A+++++++++%29%0D%0A\"   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=b+=+1%2F2%5Ca ALIGN=MIDDLE  ALT=\"b+=+1%2F2%5Ca\"   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=a%5E2+-+%281%2F2a%29%5E2+=+0 ALIGN=MIDDLE  ALT=\"a%5E2+-+%281%2F2a%29%5E2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+=+1%2F%284a%5E2%29 ALIGN=MIDDLE  ALT=\"a%5E2+=+1%2F%284a%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E4+=+1%2F4 ALIGN=MIDDLE  ALT=\"a%5E4+=+1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+=+1%2F2 ALIGN=MIDDLE  ALT=\"a%5E2+=+1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > (another possibility, a^2 = -1/2, is senseless)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+0%2B-+1%2Fsqrt%282%29 ALIGN=MIDDLE  ALT=\"a+=+0%2B-+1%2Fsqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Two solutions: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fsqrt%282%29%2Bi%2Fsqrt%282%29 ALIGN=MIDDLE  ALT=\"1%2Fsqrt%282%29%2Bi%2Fsqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2Fsqrt%282%29-i%2Fsqrt%282%29 ALIGN=MIDDLE  ALT=\"-1%2Fsqrt%282%29-i%2Fsqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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