document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=148437>Question 148437</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the sum of the squares of two consecutive even integers is 52. what are the integers? I believe the answers is 4^2 and 6^2  but I can't figure out how to write an equation to show how I figured it out, Please help!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #108784 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=108784\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the smaller be x, the larger x+2<BR>\n" );
document.write( "x^2+(x+2)^2=52<BR>\n" );
document.write( "x^2+x^2+4x+4=52<BR>\n" );
document.write( "2x^2+4x-48=0<BR>\n" );
document.write( "2(x^2+2x-24)=0<BR>\n" );
document.write( "(x+6)(x-4)=0<BR>\n" );
document.write( "x=4<BR>\n" );
document.write( "x+2=6<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );