document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=917045>Question 917045</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the real numbers (a) and (b) that satisfy this equation.\r<BR>\n" );
document.write( "\n" );
document.write( "(2+i)(a+ib)=11-2i\r<BR>\n" );
document.write( "\n" );
document.write( "I would appreciate if you could show the working out a swell :)   <BR>\n" );
document.write( "Thank you in advance!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #556482 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=556482\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (2+i)(a+ib)=11-2i <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28-2i%29 ALIGN=MIDDLE  ALT=\"highlight%28-2i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > then ai + 2bi = -2i, a+2b = -2<BR>\n" );
document.write( "11 then 2a - b = 11<BR>\n" );
document.write( "...<BR>\n" );
document.write( "-2(a+ 2b = -2)<BR>\n" );
document.write( "<u>2a - b = 11</u><BR>\n" );
document.write( "-5b = 15<BR>\n" );
document.write( "b = -3  and a =  4 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+-2-2%28-3%29 ALIGN=MIDDLE  ALT=\"a+=+-2-2%28-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and..checking<BR>\n" );
document.write( "(2 + i)(4 - 3i) = 11 - 2i<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );