document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1097117>Question 1097117</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi!<BR>\n" );
document.write( "I can't seem to figure out how to solve this question:\r<BR>\n" );
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document.write( "The complex number z is a solution of the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt%28+z+%29=+4%2F%281%2Bi%29+%2B+7+-+2i+ ALIGN=MIDDLE  ALT=\"+sqrt%28+z+%29=+4%2F%281%2Bi%29+%2B+7+-+2i+\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Express z in the form a+bi where a and b are integers.\r<BR>\n" );
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document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #711524 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=711524\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4/(1+i) = 4(1-i)/((1+i)(1-i)) = (4 - 4i)/(1 - i^2) = (4 - 4i)/2 = 2 - 2i<BR>\n" );
document.write( "So we have sqrt(z) = 2 - 2i + 7 - 2i = 9 - 4i<BR>\n" );
document.write( "Now square both sides:<BR>\n" );
document.write( "z = (9-4i)^2 = 81 - 72i + 16i^2 = 81 - 16 - 72i = 65 - 72i<BR>\n" );
document.write( "Ans: z = 65 - 72i </SPAN>\n" );
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