document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=252096>Question 252096</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find all values of x where the graph y=(2x^3 -3x+4) / (x^2) crosses its oblique asymptote </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #183852 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=183852\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  find all values of x where the graph y=(2x^3 -3x+4) / (x^2) crosses its oblique asymptote<BR>\n" );
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document.write( "Divide y = 2x^3 - 3x + 4 by x^2 to get:\r<BR>\n" );
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document.write( "Quotient: 2x <BR>\n" );
document.write( "Remainder: (-3x+4)/x^2<BR>\n" );
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document.write( "Oblique asymptote: y = 2x<BR>\n" );
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document.write( "Find points of intersection:<BR>\n" );
document.write( "2x^3-3x+4 = 2x<BR>\n" );
document.write( "2x^3-5x+4 = 0<BR>\n" );
document.write( "I graphed it and found one Real solution: x = -1.886796...<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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