document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=250765>Question 250765</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 #182628 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=182628\">put this solution on YOUR website!</A><BR><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.<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "1st: 2x-2<BR>\n" );
document.write( "2nd: 2x<BR>\n" );
document.write( "3rd: 2x+2<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "Equation:\r<BR>\n" );
document.write( "\n" );
document.write( "(2x-2)^2 + (2x)^2 = (2x+2)^2 + 20<BR>\n" );
document.write( "4x^2 - 8x + 4 + 4x^2 = 4x^2 + 8x + 4 + 20<BR>\n" );
document.write( "4x^2 - 16x -20 = 0<BR>\n" );
document.write( "x^2 - 4x - 5 = 0<BR>\n" );
document.write( "(x-5)(x+1) = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "x = 5<BR>\n" );
document.write( "1st: 2x-2 = 8<BR>\n" );
document.write( "2nd: 10<BR>\n" );
document.write( "3rd: 12<BR>\n" );
document.write( "=====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );