document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=894080>Question 894080</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the reciprocal of theproduct of two consecutive integers is 1/73. find the two integers<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #541733 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=541733\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> n and n+1 are the consecutive integers.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28n%28n%2B1%29%29=1%2F73 ALIGN=MIDDLE  ALT=\"1%2F%28n%28n%2B1%29%29=1%2F73\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Built this way:<BR>\n" );
document.write( "The product of the integers, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%28n%2B1%29 ALIGN=MIDDLE  ALT=\"n%28n%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The reciprocal of the product, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28n%28n%2B1%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28n%28n%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "That is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F73 ALIGN=MIDDLE  ALT=\"1%2F73\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28n%28n%2B1%29%29=1%2F73 ALIGN=MIDDLE  ALT=\"1%2F%28n%28n%2B1%29%29=1%2F73\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "This is equivalent to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2%2Bn=73 ALIGN=MIDDLE  ALT=\"n%5E2%2Bn=73\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which MUST be factorable using only integers.   <b>73 is a PRIME number.</b><BR>\n" );
document.write( "Discriminant of the equation, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2%2Bn-73=0 ALIGN=MIDDLE  ALT=\"n%5E2%2Bn-73=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%5E2%2B4%2A73=293 ALIGN=MIDDLE  ALT=\"1%5E2%2B4%2A73=293\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is NOT a perfect square.  This means neither n nor n+1 is an integers.\r<BR>\n" );
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document.write( "The question or problem description is wrong. </SPAN>\n" );
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