document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=322493>Question 322493</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 5. when the sum of the squares of the numbers is multiplied by 4 the result is 82. find the numbers. As a required first step, write down a system of two equations in two unknowns whose solution solves the problem. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #230874 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=230874\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> X+Y=5 OR X=5-Y<BR>\n" );
document.write( "4(X^2+Y^2)=82<BR>\n" );
document.write( "4[(5-Y)^2+Y^2]=82<BR>\n" );
document.write( "4[25-10Y+Y^2+Y^2)=82 <BR>\n" );
document.write( "100-40Y+8Y^2=82<BR>\n" );
document.write( "8Y^2-40Y+100-82=0<BR>\n" );
document.write( "8Y^2-40Y+18=0<BR>\n" );
document.write( "(2X-9)(4X-2)=0<BR>\n" );
document.write( "2X-9=0<BR>\n" );
document.write( "2X=9<BR>\n" );
document.write( "X=9/2<BR>\n" );
document.write( "X=4.5 ANS.<BR>\n" );
document.write( "4X-2=0<BR>\n" );
document.write( "4X=2<BR>\n" );
document.write( "X=2/4<BR>\n" );
document.write( "X=.5 ANS.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );