document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=986688>Question 986688</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if (x+iy)^3=y+vi then show that y/x+v/y=4(x^2-y^2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #607603 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39625)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=607603\">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=x%5E3%2B3x%5E2%28iy%29%2B3x%28iy%29%5E2%2B%28iy%29%5E3=y%2Bvi ALIGN=MIDDLE  ALT=\"x%5E3%2B3x%5E2%28iy%29%2B3x%28iy%29%5E2%2B%28iy%29%5E3=y%2Bvi\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3%2B3ix%5E2y-3xy%5E2-iy%5E3=y%2Bvi ALIGN=MIDDLE  ALT=\"x%5E3%2B3ix%5E2y-3xy%5E2-iy%5E3=y%2Bvi\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3-3xy%5E2%2Bi3x%5E2y-iy%5E3=y%2Bvi ALIGN=MIDDLE  ALT=\"x%5E3-3xy%5E2%2Bi3x%5E2y-iy%5E3=y%2Bvi\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E3-3xy%5E2%29%2B%283x%5E2-y%5E3%29%2Ai=y%2Bvi ALIGN=MIDDLE  ALT=\"%28x%5E3-3xy%5E2%29%2B%283x%5E2-y%5E3%29%2Ai=y%2Bvi\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Each member is in the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Bbi ALIGN=MIDDLE  ALT=\"a%2Bbi\"   DISABLED_style= \"max-width:90%; height:auto;\" > and corresponding coefficients can be equated.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x%5E3-3xy%5E2=y%2C3x%5E2-y%5E3=v%29 ALIGN=MIDDLE  ALT=\"system%28x%5E3-3xy%5E2=y%2C3x%5E2-y%5E3=v%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Try finding a formula for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2Fx ALIGN=MIDDLE  ALT=\"y%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > using the first equation; and try getting <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%2Fy ALIGN=MIDDLE  ALT=\"v%2Fy\"   DISABLED_style= \"max-width:90%; height:auto;\" > using the second equation and see what more you can find from those.  ( I have not yet tried myself to finish this.) </SPAN>\n" );
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