document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=215861>Question 215861</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/013227650x/algebrahomeworkh>precalculus </A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> can someone help me with this problem step by step?<BR>\n" );
document.write( "5-6i find the product of the complex number and find its conjugate. <BR>\n" );
document.write( "thanks<BR>\n" );
document.write( "Thank you so much!!!!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #163059 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=163059\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 5-6i find the product of the complex number and find its conjugate. <BR>\n" );
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document.write( "Its conjugate is 5+6i.  Only the sign is different between conjugates.<BR>\n" );
document.write( "(5-6i)*(5+6i)<BR>\n" );
document.write( "= 5*(5+6i) - 6i*(5+6i)<BR>\n" );
document.write( "= 25 + 30i - 30i - 36*i*i <BR>\n" );
document.write( "= 25 + 36 (i*i = -1)<BR>\n" );
document.write( "= 61<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "The product of a complex number and its conjugate,<BR>\n" );
document.write( "(a + bi) is always a^2 + b^2<BR>\n" );
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