document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=180776>Question 180776</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the answer for this problem? <BR>\n" );
document.write( "Find two consecutive even integers such that the sum of their squares is 52. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #135495 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=135495\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find two consecutive even integers such that the sum of their squares is 52.<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "1st: 2x<BR>\n" );
document.write( "2nd: 2(x+1)<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "(2x)^2 + (2(x+1))^2 = 52\r<BR>\n" );
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document.write( "4x^2 + 4(x+1)^2 = 52\r<BR>\n" );
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document.write( "x^2 + (x+1)^2 = 13\r<BR>\n" );
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document.write( "2x^2 + 2x + 1 = 13\r<BR>\n" );
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document.write( "2x^2 + 2x - 12 = 0\r<BR>\n" );
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document.write( "x^2 + x - 6 = 0\r<BR>\n" );
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document.write( "(x+3)(x-2) = 9\r<BR>\n" );
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document.write( "Positive solution:<BR>\n" );
document.write( "x = 2<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "1st: 2x = 4<BR>\n" );
document.write( "2nd: 2x+2 = 6<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Checking: 4^2 + 6^2 = 52<BR>\n" );
document.write( "16 + 36 = 52<BR>\n" );
document.write( "52 = 52<BR>\n" );
document.write( "==================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );