document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=182485>Question 182485</A>: <I><SPAN STYLE=\"word-break: break-all;\"> FIND TWO CONSECUTIVE INTEGERS IF TWO TIMES THE SQUARE OF THE FIRST IS EQUAL TO 23 MORE THAN THE SQUARE OF THE SECOND... thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #136962 by </B><A HREF=/tutors/aboutme.mpl?userid=tvandenberg><B>tvandenberg(45)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tvandenberg><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=136962\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=n%2B1 ALIGN=MIDDLE  ALT=\"m=n%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "We know, from the problem:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2An%5E2=m%5E2%2B23 ALIGN=MIDDLE  ALT=\"2%2An%5E2=m%5E2%2B23\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Subbing in the information from above,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2An%5E2=%28n%2B1%29%5E2%2B23 ALIGN=MIDDLE  ALT=\"2%2An%5E2=%28n%2B1%29%5E2%2B23\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Some algebra,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2An%5E2=n%5E2%2B2n%2B1%2B23 ALIGN=MIDDLE  ALT=\"2%2An%5E2=n%5E2%2B2n%2B1%2B23\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "--->\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2-2%2An-24=0 ALIGN=MIDDLE  ALT=\"n%5E2-2%2An-24=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "--->\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n-6%29%28n%2B4%29=0 ALIGN=MIDDLE  ALT=\"%28n-6%29%28n%2B4%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "--->\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=6%2C-4 ALIGN=MIDDLE  ALT=\"n=6%2C-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I would assume it has to be positive,  n = 6, m = 7\r<BR>\n" );
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document.write( "Checking, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A6%5E2+=+72 ALIGN=MIDDLE  ALT=\"2%2A6%5E2+=+72\"   DISABLED_style= \"max-width:90%; height:auto;\" >    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%5E2%2B23=72 ALIGN=MIDDLE  ALT=\"7%5E2%2B23=72\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Hope this helps. </SPAN>\n" );
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