document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1174826>Question 1174826</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the equation of parabola which has contact of third order with the conic ax^2 +2hxy + by^2 +2gx +2fy +c =0 at origin. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #850645 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=850645\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "The solution in the post by @CPhill is incorrect.\r<BR>\n" );
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document.write( "It is incorrect TWO TIMES due to two reasons.\r<BR>\n" );
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document.write( "(1) The equation of the parabola is written in incorrect form.  \r<BR>\n" );
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document.write( "(2) in the solution, @CPhill makes an assumption that the tangent is along x-axis.\r<BR>\n" );
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document.write( "    The problem nowhere says it, so this assumption is WRONG and irrelevant to the problem.\r<BR>\n" );
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document.write( "To be correct, this assumption should not be made.\r<BR>\n" );
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document.write( "Google AI gives another solution to this problem (quite long) without making wrong assumptions.\r<BR>\n" );
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document.write( "See the link\r<BR>\n" );
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document.write( "https://www.google.com/search?q=find+the+equation+of+parabola+which+has+contact+of+third+order+with+the+conic+ax%5E2+%2B2hxy+%2B+by%5E2+%2B2gx+%2B2fy+%2Bc+%3D0+at+origin.&rlz=1C1CHBF_enUS1071US1071&oq=find+the+equation+of+parabola+which+has+contact+of+third+order+with+the+conic+ax%5E2+%2B2hxy+%2B+by%5E2+%2B2gx+%2B2fy+%2Bc+%3D0+at+origin.&gs_lcrp=EgZjaHJvbWUyBggAEEUYOdIBCTE5NTFqMGoxNagCCLACAfEFU-UGEVhaVo0&sourceid=chrome&ie=UTF-8\r<BR>\n" );
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document.write( " </SPAN>\n" );
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