document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=331018>Question 331018</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Three consecutive even integers are such that the square of the third is 76 more than the square of the second. Find the three integers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #237337 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=237337\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> LET X, X+2 & X+4 BE THE THREE EVEN INTEGERS.<BR>\n" );
document.write( "(X+4)^2=76+(X+2)^2<BR>\n" );
document.write( "X^2+8X+16=76=X^2+4X+4<BR>\n" );
document.write( "8X-4X=4+76-16<BR>\n" );
document.write( "4X=64<BR>\n" );
document.write( "X=64/4<BR>\n" );
document.write( "X=16 ANS FOR THE SMALLEST INTEGER.<BR>\n" );
document.write( "16=2=18 FOR THE MIDDLE INTYEGER.<BR>\n" );
document.write( "16+4=20 FOR THE LARGEST INTEGER.<BR>\n" );
document.write( "PROOF:<BR>\n" );
document.write( "20^2=76+18^2<BR>\n" );
document.write( "400=76+324<BR>\n" );
document.write( "400=400<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );