document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=756611>Question 756611</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all real solutions of the equation. (Enter your answers as a comma-separated list. <BR>\n" );
document.write( "x3 &#8722; 7x2 + 6x &#8722; 47 = x2 + 1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #460340 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=460340\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find all real solutions of the equation.<BR>\n" );
document.write( "x3 &#8722; 7x2 + 6x &#8722; 47 = x2 + 1<BR>\n" );
document.write( "x^3-8x^2+6x-48=0<BR>\n" );
document.write( "using Rational Roots Theorem:\r<BR>\n" );
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document.write( "...0...|.....1......-8........6........-48..........<BR>\n" );
document.write( "...1...|.....1......-7......-1........-49..<BR>\n" );
document.write( "...2...|.....1......-6......-6........-60...<BR>\n" );
document.write( "...7...|.....1......-1......-1........-55.<BR>\n" );
document.write( "...8...|.....1........0.......6...........0 (8 is a root)<BR>\n" );
document.write( "f(x)=(x-8)(x^2+6)<BR>\n" );
document.write( "roots are 8 and 2 imaginary roots<BR>\n" );
document.write( "note: I skipped trying some positive numbers because I knew the answer is 8 from my graphic calculator. Anyway, I showed you the method you can use. </SPAN>\n" );
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