document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=243740>Question 243740</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me to figure out this problem:\r<BR>\n" );
document.write( "\n" );
document.write( "THis is how the word problem is written in the book:\r<BR>\n" );
document.write( "\n" );
document.write( "Find three consecutive even intergers such that the square of the largest exceeds the sum of the squares of the other two by 12. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #178553 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=178553\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find three consecutive even integers such that the square of the largest exceeds the sum of the squares of the other two by 12.<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "1st: 2x<BR>\n" );
document.write( "2nd: 2x+2<BR>\n" );
document.write( "3rd: 2x+4<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "(2x+4)^2 = (2x)^2 + (2x+2)^2 + 12<BR>\n" );
document.write( "------------------------------------------<BR>\n" );
document.write( "4x^2 + 16x + 16 = 4x^2 + 4x^2 + 8x + 4 + 12<BR>\n" );
document.write( "4x^2-8x = 0<BR>\n" );
document.write( "4x(x-2) = 0<BR>\n" );
document.write( "x = 0 or x = 2<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "If x = 0<BR>\n" );
document.write( "2x = 0<BR>\n" );
document.write( "2x+2 = 2<BR>\n" );
document.write( "2x+4 = 4<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "4^2 = 0^2 + 2^2 + 12<BR>\n" );
document.write( "Good solution<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "If x = 2<BR>\n" );
document.write( "2x = 4<BR>\n" );
document.write( "2x+2 = 6<BR>\n" );
document.write( "2x+4 = 8<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "8^2 = 6^2 + 2^2 + 12<BR>\n" );
document.write( "64 = 36 + 16<BR>\n" );
document.write( "x=2 does not give a solution set.<BR>\n" );
document.write( "===================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );