document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=129499>Question 129499</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0495012505/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the squares of two consecutive even integers is 100. Find the two integers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #94573 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley71><B>checkley71(8403)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley71><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=94573\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> X^2+(X+2)^2=100<BR>\n" );
document.write( "X^2+X^2+4X+4=100<BR>\n" );
document.write( "2X^2+4X+4-100=0<BR>\n" );
document.write( "2X^2+4X-96=0<BR>\n" );
document.write( "2(X^2+2X-48)=0<BR>\n" );
document.write( "2(X+8)(X-6)=0<BR>\n" );
document.write( "X-6=0<BR>\n" );
document.write( "X=6 FOR THE FIRST EVEN INTEGER.<BR>\n" );
document.write( "6+2=8 FOR THE OTHER INMTEGER.<BR>\n" );
document.write( "PROOF:<BR>\n" );
document.write( "6^2+8^2=100<BR>\n" );
document.write( "36+64=100<BR>\n" );
document.write( "100=100<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );