document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=24246>Question 24246</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the squares of two consecutive positive even integers is 340. What are the integers? The answer should be in this form: 6 and 7 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #12891 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=12891\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the first positive even integer = x, then the next consecutive positive even integer = (x+2)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+%28x%2B2%29%5E2+=+340 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+%28x%2B2%29%5E2+=+340\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify the left side.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+%28x%5E2+%2B+4x+%2B+4%29+=+340 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+%28x%5E2+%2B+4x+%2B+4%29+=+340\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2+%2B+4x+%2B+4+=+340 ALIGN=MIDDLE  ALT=\"2x%5E2+%2B+4x+%2B+4+=+340\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 340 from both sides of the equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2+%2B+4x+-+336+=+0 ALIGN=MIDDLE  ALT=\"2x%5E2+%2B+4x+-+336+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor a 2 from the left side.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x%5E2+%2B+2x+-+168%29+=+0 ALIGN=MIDDLE  ALT=\"2%28x%5E2+%2B+2x+-+168%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the parentheses.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x-12%29%28x%2B14%29+=+0 ALIGN=MIDDLE  ALT=\"2%28x-12%29%28x%2B14%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Apply the zero product principle.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-12%29+=+0 ALIGN=MIDDLE  ALT=\"%28x-12%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and/or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B14%29+=+0 ALIGN=MIDDLE  ALT=\"%28x%2B14%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-12+=+0 ALIGN=MIDDLE  ALT=\"x-12+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+12 ALIGN=MIDDLE  ALT=\"x+=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" > This is the first postive even integer.<BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B14+=+0 ALIGN=MIDDLE  ALT=\"x%2B14+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-14 ALIGN=MIDDLE  ALT=\"x+=+-14\"   DISABLED_style= \"max-width:90%; height:auto;\" > Discard this solution as you want positive integers only.\r<BR>\n" );
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document.write( "The two integers are: 12 and 14\r<BR>\n" );
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document.write( "Check:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%5E2+%2B+14%5E2+=+144+%2B+196 ALIGN=MIDDLE  ALT=\"12%5E2+%2B+14%5E2+=+144+%2B+196\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 340<BR>\n" );
document.write( " </SPAN>\n" );
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