document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=266199>Question 266199</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have 2 question i have answered both but am not confident with the answers. <BR>\n" );
document.write( "(2+3i)(x+yi)=23+2i find values for x and y.<BR>\n" );
document.write( "express root 2 cis (5pi/4) in cartesian form.<BR>\n" );
document.write( "Thak you for your help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #195609 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=195609\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (2+3i)(x+yi)=23+2i find values for x and y.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "2x +2yi +3xi -3y = 23 + 2i<BR>\n" );
document.write( "---<BR>\n" );
document.write( "(2x-3y)+(3x+2y)i = 23 + 2i<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Equate the Real Parts and Equate the Imaginary Parts to get:<BR>\n" );
document.write( "2x-3y = 23<BR>\n" );
document.write( "3x+2y = 2<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Multiply 1st by 3; Multiply 2nd by 2<BR>\n" );
document.write( "6x - 9y = 69<BR>\n" );
document.write( "6x + 4y = 4<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Subtract 1st from 2nd and solve for \"y\":<BR>\n" );
document.write( "13y = -65<BR>\n" );
document.write( "y = -5<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "2x-3y = 23<BR>\n" );
document.write( "3x+2y = 2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Multiply 1st by 2; Multiply 2nd by 3<BR>\n" );
document.write( "4x -6y = 46<BR>\n" );
document.write( "9x +6y = 6<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "Add the two equations and solve for \"x\":<BR>\n" );
document.write( "13x = 52<BR>\n" );
document.write( "x = 4<BR>\n" );
document.write( "===========================================\r<BR>\n" );
document.write( "\n" );
document.write( "express root 2 cis (5pi/4) in cartesian form.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= sqrt(2)[cos((5/4)pi)+ isin((5/4)pi))<BR>\n" );
document.write( "= sqrt(2)[-1/sqrt(2) - i(1/sqrt(2)]<BR>\n" );
document.write( "= [-1 -i]<BR>\n" );
document.write( "==================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );