document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=478485>Question 478485</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find two consecutive even numbers if the sum of their squares is 100.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #327839 by </B><A HREF=/tutors/aboutme.mpl?userid=amoresroy><B>amoresroy(361)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=amoresroy><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=amoresroy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=327839\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = the first even number<BR>\n" );
document.write( " x + 2= the second even number\r<BR>\n" );
document.write( "\n" );
document.write( "x^2 + (x+2)^2 = 100<BR>\n" );
document.write( "x^2 + x^2 + 4x +4 = 100<BR>\n" );
document.write( "2x^2 + 4x -96 = 0<BR>\n" );
document.write( "Divide by 2 to get<BR>\n" );
document.write( "x^2 + 2x -48 = 0<BR>\n" );
document.write( "Solve for x by factoring<BR>\n" );
document.write( "(x-6)(x+8)= 0<BR>\n" );
document.write( " x = 6<BR>\n" );
document.write( "x+2 = 8\r<BR>\n" );
document.write( "\n" );
document.write( "The two consecutive even numbers are 6 and 8.\r<BR>\n" );
document.write( "\n" );
document.write( "To check<BR>\n" );
document.write( "6*6 + 8*8 = 36 + 64 = 100 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );