document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=249669>Question 249669</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the equation x^4+ax^2+bx+c=0 has roots 1,2,3 Find C </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #181807 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=181807\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  If the equation x^4+ax^2+bx+c=0 has roots 1,2,3 Find C<BR>\n" );
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document.write( "If x = 1: 1+a + b + c = 0<BR>\n" );
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document.write( "If x = 2: 16 +4a + 2b + c = 0<BR>\n" );
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document.write( "If x = 3: 81 + 9a + 3b + c = 0<BR>\n" );
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document.write( "Rearrange and solve for a,b,c<BR>\n" );
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document.write( "a  +  b  +   c   =  0<BR>\n" );
document.write( "4a + 2b  +   c   =  -16<BR>\n" );
document.write( "9a + 3b  +   c   =  -81<BR>\n" );
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document.write( "I used a matrix method to get:<BR>\n" );
document.write( "a = -(49/2)<BR>\n" );
document.write( "b = 115/2<BR>\n" );
document.write( "c = -33<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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