document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=960867>Question 960867</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find two consecutive even natural numbers such that the sum of their squares is 340 .<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #587237 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=587237\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the two consecutive numbers are x and x + 2.<BR>\n" );
document.write( "x^2 + (x+2)^2 = 340<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "x^2 + x^2 + 4x + 4 = 340<BR>\n" );
document.write( "combine like terms to get:<BR>\n" );
document.write( "2x^2 + 4x + 4 = 340<BR>\n" );
document.write( "subtract 340 from both sides to get:<BR>\n" );
document.write( "2x^2 + 4x - 336 = 0<BR>\n" );
document.write( "factor out the 2 to get:<BR>\n" );
document.write( "x^2 + 2x - 168 = 0<BR>\n" );
document.write( "factor the quadratic to get:<BR>\n" );
document.write( "(x-12) * (x+14) = 0<BR>\n" );
document.write( "x is equal to 12.<BR>\n" );
document.write( "x + 2 is equal to 14.<BR>\n" );
document.write( "x^2 + (x+2)^2 is equal to 12^2 + 14^2 which is equal to 340.<BR>\n" );
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