document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1076323>Question 1076323</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have $1 million.   starting from $0, each point costs $50 more than the last.   how many points can I buy? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #807692 by </B><A HREF=/tutors/aboutme.mpl?userid=CubeyThePenguin><B>CubeyThePenguin(3113)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CubeyThePenguin><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=CubeyThePenguin><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=807692\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> total value of n points<BR>\n" );
document.write( "= 0 + 50 + ... + 50n<BR>\n" );
document.write( "= 50(n)(n+1)/2<BR>\n" );
document.write( "= 25(n)(n+1)\r<BR>\n" );
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document.write( "25(n)(n+1) = 1000000<BR>\n" );
document.write( "n^2 + n = 40000<BR>\n" );
document.write( "n^2 + n - 40000 = 0<BR>\n" );
document.write( "n = -200.5, 199.5 (roughly)\r<BR>\n" );
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document.write( "You can buy up to 199 points. </SPAN>\n" );
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