document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=304697>Question 304697</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the squares of two consecutive positive even numbers is 20.<BR>\n" );
document.write( "What is the smaller number? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #218192 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=218192\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of the squares of two consecutive positive even numbers is 20.<BR>\n" );
document.write( "What is the smaller number?<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "1st: (2x)^2<BR>\n" );
document.write( "2nd: (2x+2)^2<BR>\n" );
document.write( "----------------------------------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "4x^2 + 4x^2 + 8x + 4 = 20<BR>\n" );
document.write( "---<BR>\n" );
document.write( "8x^2 + 8x + 4 = 20<BR>\n" );
document.write( "2x^2 + 2x + 1 = 5<BR>\n" );
document.write( "---<BR>\n" );
document.write( "2x^2 + 2x -4 = 0<BR>\n" );
document.write( "x^2 + x -2 = 0<BR>\n" );
document.write( "(x+2)(x-1) = 0<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "x = 1<BR>\n" );
document.write( "1st: 2x = 2<BR>\n" );
document.write( "2nd: 2x+2 = 4<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "========================= </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );