document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=23418>Question 23418</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with this question!!! I have NO CLUE what i am doing!! Here is the question: The sum of the squares of two consecutive negative even integers is 100. Find the integers.\r<BR>\n" );
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document.write( "Please help me, help would be greatly appreciated. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #12196 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=12196\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Start by letting x = the first negative even integer.  The next consecutive negative even integer is x+2. <BR>\n" );
document.write( "From the problem description, you can write:\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+=+100 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+%28x%2B2%29%5E2+=+100\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify and solve for x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+x%5E2+%2B+4x+%2B+4+=+100 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+x%5E2+%2B+4x+%2B+4+=+100\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 100 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+-+96+=+0 ALIGN=MIDDLE  ALT=\"2x%5E2+%2B+4x+-+96+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out a 2.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x%5E2+%2B+2x+-+48%29+=+0 ALIGN=MIDDLE  ALT=\"2%28x%5E2+%2B+2x+-+48%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+-+6%29%28x+%2B+8%29+=+0 ALIGN=MIDDLE  ALT=\"2%28x+-+6%29%28x+%2B+8%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=x+-+6+=+0 ALIGN=MIDDLE  ALT=\"x+-+6+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and/or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+8+=+0 ALIGN=MIDDLE  ALT=\"x+%2B+8+=+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+-+6+=+0 ALIGN=MIDDLE  ALT=\"x+-+6+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+6 ALIGN=MIDDLE  ALT=\"x+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Discard this solution...you want negative integers.<BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+8+=+0 ALIGN=MIDDLE  ALT=\"x+%2B+8+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-8 ALIGN=MIDDLE  ALT=\"x+=+-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > This solution is valid and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2+=+-8%2B2 ALIGN=MIDDLE  ALT=\"x%2B2+=+-8%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6 ALIGN=MIDDLE  ALT=\"-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The two consecutive negative even integers are:\r<BR>\n" );
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document.write( "-8 and -6\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=%28-8%29%5E2+%2B+%28-6%29%5E2+=+64+%2B+36 ALIGN=MIDDLE  ALT=\"%28-8%29%5E2+%2B+%28-6%29%5E2+=+64+%2B+36\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100 ALIGN=MIDDLE  ALT=\"100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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