document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=110013>Question 110013</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395977223/algebrahomeworkh>algebra(structure and method)</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> the sum of the squares of two consecutive positive even integers is 340. find the integers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #80143 by </B><A HREF=/tutors/aboutme.mpl?userid=HyperBrain><B>HyperBrain(694)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=HyperBrain><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=80143\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=the smaller integer\r<BR>\n" );
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document.write( "Then let x+2=the next integer\r<BR>\n" );
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document.write( "IF the sum of the squares of two consecutive positive even integers is 340, then:\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;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B%28x%28x%2B2%29%2B2%28x%2B2%29%29=340 ALIGN=MIDDLE  ALT=\"x%5E2%2B%28x%28x%2B2%29%2B2%28x%2B2%29%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=x%5E2%2B%28%28x%5E2%2B2x%29%2B%282x%2B4%29%29=340 ALIGN=MIDDLE  ALT=\"x%5E2%2B%28%28x%5E2%2B2x%29%2B%282x%2B4%29%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=x%5E2%2B%28x%5E2%2B%282x%2B2x%29%2B4%29=340 ALIGN=MIDDLE  ALT=\"x%5E2%2B%28x%5E2%2B%282x%2B2x%29%2B4%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=x%5E2%2B%28x%5E2%2B4x%2B4%29=340 ALIGN=MIDDLE  ALT=\"x%5E2%2B%28x%5E2%2B4x%2B4%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=%28x%5E2%2Bx%5E2%29%2B4x%2B4=340 ALIGN=MIDDLE  ALT=\"%28x%5E2%2Bx%5E2%29%2B4x%2B4=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%2B4x%2B4=340 ALIGN=MIDDLE  ALT=\"2x%5E2%2B4x%2B4=340\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B2x%2B2=170 ALIGN=MIDDLE  ALT=\"x%5E2%2B2x%2B2=170\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B2x%2B2-170=170-170 ALIGN=MIDDLE  ALT=\"x%5E2%2B2x%2B2-170=170-170\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B2x-168=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B2x-168=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "BY the quadratic formula,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-2%2B-sqrt%282%5E2%2B4%2A1%2A168%29%29%2F%282%2A1%29 ALIGN=MIDDLE  ALT=\"x=%28-2%2B-sqrt%282%5E2%2B4%2A1%2A168%29%29%2F%282%2A1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-2%2B-sqrt%284%2B672%29%29%2F%282%29 ALIGN=MIDDLE  ALT=\"x=%28-2%2B-sqrt%284%2B672%29%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-2%2B-sqrt%28676%29%29%2F%282%29 ALIGN=MIDDLE  ALT=\"x=%28-2%2B-sqrt%28676%29%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-2%2B-26%29%2F%282%29 ALIGN=MIDDLE  ALT=\"x=%28-2%2B-26%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-2%2B26%29%2F2 ALIGN=MIDDLE  ALT=\"x=%28-2%2B26%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-2-26%29%2F%282%29 ALIGN=MIDDLE  ALT=\"x=%28-2-26%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=24%2F2=12 ALIGN=MIDDLE  ALT=\"x=24%2F2=12\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-28%2F2=-14 ALIGN=MIDDLE  ALT=\"x=-28%2F2=-14\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If x=12, x+2=14\r<BR>\n" );
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document.write( "If x=-14, x+2=-12\r<BR>\n" );
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document.write( "Thus, the numbers maybe (12, 14) or (-14,-12)\\r<BR>\n" );
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document.write( "Power up,<BR>\n" );
document.write( "HyperBrain! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );