document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1929>Question 1929</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am supposed to find two positive real numbers that differ by 1 and have a product of 1.<BR>\n" );
document.write( "This is how I did this:<BR>\n" );
document.write( "x(x+1)=1<BR>\n" );
document.write( "0+1=1<BR>\n" );
document.write( "Is this right??? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #758 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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/cgi-bin/show-face.mpl?user=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=758\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> lol the first line is perfect, but then you jump in and guess the answer without solving the equation you found. Remember the question says real numbers...not integers, so they might well be decimal numbers.\r<BR>\n" );
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document.write( "Also, 0x1 is zero, not 1 so you are definitely wrong :-)\r<BR>\n" );
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document.write( "Let x = the smaller of the 2 numbers.\r<BR>\n" );
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document.write( "then x(x+1) = 1<BR>\n" );
document.write( "so, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+x+=+1 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+x+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+x+-+1+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+x+-+1+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "putting this into the quadratic formula gives the following answers:\r<BR>\n" );
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document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1+%2B-+sqrt%285%29%29%2F2 ALIGN=MIDDLE  ALT=\"%28-1+%2B-+sqrt%285%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "take the positive version, so the 2 numbers are: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%2Bsqrt%285%29%29%2F2 ALIGN=MIDDLE  ALT=\"%28-1%2Bsqrt%285%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28-1%2Bsqrt%285%29%29%2F2%29%2B1 ALIGN=MIDDLE  ALT=\"%28%28-1%2Bsqrt%285%29%29%2F2%29%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "jon </SPAN>\n" );
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