document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=46996>Question 46996</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0874477557/algebrahomeworkh>CLEP Official Study Guide</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> 1. When 3+4i / 2+i is expressed in the for a+bi, what is the value of a?\r<BR>\n" );
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document.write( "I don't understand why the answer is 2. \r<BR>\n" );
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document.write( "2. (i+1)(3-i)+(2i-1)\r<BR>\n" );
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document.write( "I tried multiplying the first two sets and adding the like terms with the third set but I'm not coming up with the correct answer.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #31126 by </B><A HREF=/tutors/aboutme.mpl?userid=mathchemprofessor><B>mathchemprofessor(65)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathchemprofessor><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=31126\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.Multiplying  and dividing with conjugate of 2+i in the given expression, we get<BR>\n" );
document.write( "(3+ 4i)(2-i)/(2+i)(2-i)=(6-3i+8i-4i^2)/(4-i^2)=(10+5i)/(4+1)=(10+5i)/5=2+i=a+bi<BR>\n" );
document.write( "So, a=2<BR>\n" );
document.write( "2.(i+1)(3-i)+(2i-1)=(3i-i^2+3-i)+(2i-1)=(2i+1+3)+(2i-1)=4i+3 </SPAN>\n" );
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