document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=377975>Question 377975</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The question is :<BR>\n" );
document.write( "For i = the square root of -1, if 3i (2 + 5i) = x + 6i, then x = ?\r<BR>\n" );
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document.write( "I came up with x = 15, however, the test answer says x = -15.  I am confused...how can you get the square root of a negative # and it be a negative #? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #268544 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=268544\">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=3i%282+%2B+5i%29 ALIGN=MIDDLE  ALT=\"3i%282+%2B+5i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6i+%2B+15i%5E2 ALIGN=MIDDLE  ALT=\"6i+%2B+15i%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-15+%2B+6i ALIGN=MIDDLE  ALT=\"-15+%2B+6i\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> x = -15.\r<BR>\n" );
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document.write( "The square root of a negative number is not defined on the real axis. This is why mathematicians created the number <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i+=+sqrt%28-1%29 ALIGN=MIDDLE  ALT=\"i+=+sqrt%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. For example, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28-9%29+=+3i ALIGN=MIDDLE  ALT=\"sqrt%28-9%29+=+3i\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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