document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=402382>Question 402382</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Three consecutive even integers are such that the square of the first integer plus the square of the third integer is 136. 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 #284679 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley79><B>checkley79(3341)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley79><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=284679\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x, x+2 & x=4 be the three integers.<BR>\n" );
document.write( "x^2+(x+4)^2=136<BR>\n" );
document.write( "x^2+x^2+8x+16=136<BR>\n" );
document.write( "2x^2+8x+16-136=0<BR>\n" );
document.write( "2x^2+8x-120=0<BR>\n" );
document.write( "2(x^2+4x-60)=0<BR>\n" );
document.write( "2(x-6)(x+10)=0<BR>\n" );
document.write( "x-6=0<BR>\n" );
document.write( "x=6 ans. for the smallest integer.<BR>\n" );
document.write( "6+4=10 ans. for the largest integer.<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( "6^2+10^2=136<BR>\n" );
document.write( "36+100=136<BR>\n" );
document.write( "136=136 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );