document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=248484>Question 248484</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find three consecutive positive even whole numbers such that the sum of the square of the two smaller numbers is 20 more than the square of the largest number? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #181126 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=181126\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x, x+2 & x+4 be the 3 numbers.<BR>\n" );
document.write( "x^2+(x+2)^2=(x+4)^2+20<BR>\n" );
document.write( "x^2+x^2+4x+4=x^2+8x+16+20<BR>\n" );
document.write( "2x^2+4x+4-x^2-8x-36=0<BR>\n" );
document.write( "x^2-4x-32=0<BR>\n" );
document.write( "(x-8)(x+4)=0<BR>\n" );
document.write( "x-8=0<BR>\n" );
document.write( "x=8 ans. for the smallest number.<BR>\n" );
document.write( "8+2=10 ans. for the middle number.<BR>\n" );
document.write( "8+4=12 ans. for the laegest number.<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( "8^2+10^2=12^2+20<BR>\n" );
document.write( "64+100=144+20<BR>\n" );
document.write( "164=164 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );