document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=162007>Question 162007</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find three consecutive integers such that the sum of the squares of the second and the third exceeds the square of the first by 21. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #119389 by </B><A HREF=/tutors/aboutme.mpl?userid=SAT+Math+Tutor><B>SAT Math Tutor(36)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=SAT+Math+Tutor><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=119389\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ok, the first thing to do is set up your variables.  We will choose 3 consecutive integers using just 1 variable n:\r<BR>\n" );
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document.write( "n<BR>\n" );
document.write( "n + 1<BR>\n" );
document.write( "n + 2\r<BR>\n" );
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document.write( "Then, set up the equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n%2B1%29%5E2%2B%28n%2B2%29%5E2+=+n%5E2+%2B+21 ALIGN=MIDDLE  ALT=\"%28n%2B1%29%5E2%2B%28n%2B2%29%5E2+=+n%5E2+%2B+21\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "And solve:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2%2B2n%2B1+%2B+n%5E2%2B4n%2B4+=+n%5E2+%2B+21 ALIGN=MIDDLE  ALT=\"n%5E2%2B2n%2B1+%2B+n%5E2%2B4n%2B4+=+n%5E2+%2B+21\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2n%5E2%2B6n%2B5+=+n%5E2+%2B+21 ALIGN=MIDDLE  ALT=\"2n%5E2%2B6n%2B5+=+n%5E2+%2B+21\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2%2B6n-16+=+0 ALIGN=MIDDLE  ALT=\"n%5E2%2B6n-16+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Then, use the quadratic equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-6+%2B-+sqrt%286%5E2-4%2A1%2A-16%29%29%2F2 ALIGN=MIDDLE  ALT=\"%28-6+%2B-+sqrt%286%5E2-4%2A1%2A-16%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-6+%2B-+sqrt%28100%29%29%2F2 ALIGN=MIDDLE  ALT=\"%28-6+%2B-+sqrt%28100%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-6+%2B-+10%29%2F2 ALIGN=MIDDLE  ALT=\"%28-6+%2B-+10%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This gives you an answer of n = 2, -8\r<BR>\n" );
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document.write( "So there are 2 solutions:\r<BR>\n" );
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document.write( "2, 3, 4\r<BR>\n" );
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document.write( "AND\r<BR>\n" );
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document.write( "-8, -7, -6 </SPAN>\n" );
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