document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1183632>Question 1183632</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following cubic equations. \r<BR>\n" );
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document.write( "a) 4x^3+18 = 7x^2+21x <BR>\n" );
document.write( "b) (x-3)^2 = 4/x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #814040 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=814040\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4x^3-7x^2-21x+18=0<BR>\n" );
document.write( "Can graph or use synthetic division. <BR>\n" );
document.write( "use factor (x-3)<BR>\n" );
document.write( "3/   4== -7==-21==18<BR>\n" );
document.write( "===4===5== -6== 0<BR>\n" );
document.write( "so (x-3)(4x^2+5x-6)=0<BR>\n" );
document.write( "4x^2+5x-6 factors into <BR>\n" );
document.write( "x^2+5x-24 or (x-3)(x+8) and then to (4x-3) (x+2)<BR>\n" );
document.write( "so x=-2, (3/4), and 3<BR>\n" );
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document.write( "b. By inspection, 1 is a root<BR>\n" );
document.write( "x(x-3)^2-4=0<BR>\n" );
document.write( "x^3-6x^2+9x-4=0<BR>\n" );
document.write( "1 is a root<BR>\n" );
document.write( "the factors are (x-1)(x^2-5x+4), or (x-1)(x-4)(x-1)<BR>\n" );
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document.write( "also can graph each side and look where equal<BR>\n" );
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document.write( "roots are 1 (repeated), 4<BR>\n" );
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document.write( " </SPAN>\n" );
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