document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204206>Question 1204206</A>: <I><SPAN STYLE=\"word-break: break-all;\"> TWO CONSECUTIVE POSITIVE EVEN INTEGERS ARE SUCH THE SUM OF THEIR SQUARES IS 164.  FIND THE TWO NUMBERS. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #840301 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=840301\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> TWO CONSECUTIVE POSITIVE EVEN INTEGERS ARE SUCH THE SUM OF THEIR SQUARES IS 164. FIND THE TWO NUMBERS.\r<BR>\n" );
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document.write( "let one even number be x<BR>\n" );
document.write( "the other even number will be (x+2)\r<BR>\n" );
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document.write( "x^2+(x+2)^2=164\r<BR>\n" );
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document.write( "x^2+x^2+4x+4=164\r<BR>\n" );
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document.write( "2x^2+4x-160=0\r<BR>\n" );
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document.write( "2(x^2+2x-80)=0\r<BR>\n" );
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document.write( "x^2+2x-80=0\r<BR>\n" );
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document.write( "x^2+10x-8x-80=0\r<BR>\n" );
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document.write( "x(x+10)-8(x+10)= 0\r<BR>\n" );
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document.write( "(x+10)(x-8)=0\r<BR>\n" );
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document.write( "x=-10 OR x=8\r<BR>\n" );
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document.write( "8 & 10  are the positive even integers\r<BR>\n" );
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document.write( " </SPAN>\n" );
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