document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=35763>Question 35763</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help! I am so lost and my algebra final is due in 9 hours!!!\r<BR>\n" );
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document.write( "x^4+2x^3-4x-4=0 \r<BR>\n" );
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document.write( " I am supposed to find the positive roots to an accuracy of .1 using bisection. There is only one example in the book and that is for a 2nd degree poly. If anyone can help me with in the next few hours that would be great. Thank you!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #21900 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=21900\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> please help! I am so lost and my algebra final is due in 9 hours!!!<BR>\n" );
document.write( "LET.....F(X)=x^4+2x^3-4x-4=0<BR>\n" );
document.write( "I am supposed to find the positive roots to an accuracy of .1 using bisection. There is only one example in the book and that is for a 2nd degree poly. If anyone can help me with in the next few hours that would be great. Thank you!!<BR>\n" );
document.write( "THERE IS ONLY ONE CHANGE IN SIGN FROM +2 TO -4 ..SO THERE CAN BE ONLY 1 POSITIVE ROOT<BR>\n" );
document.write( "IF RATIONAL IT SHOULD BE A FACTOR OF 4...THAT IS 1,2,OR 4..NONE OF WHICH ARE OK.<BR>\n" );
document.write( "F(1)=1+2-4-4=-5<BR>\n" );
document.write( "F(2)=2^4+2*2^3-4*2-4=16+16-8-4=20...HENCE ROOT IS IRRATIONAL AND IS BETWEEN 1 & 2.<BR>\n" );
document.write( "AS F(1) AND F(2) ARE OF DIFFERENT SIGNS,THERE MUST BE A ZERO VALUE BETWEEN THEM.<BR>\n" );
document.write( "LET US TRY FACTORISATION BY DIVIDING THE TERMS <BR>\n" );
document.write( "F(X)=(X^4-4)+2X(X^2-2)=0<BR>\n" );
document.write( "=(X^2+2)(X^2-2)+2X(X^2-2)=0<BR>\n" );
document.write( "(X^2-2)(X^2+2+2X)=0<BR>\n" );
document.write( "HENCE X^2-2=0...OR...X^2=2...OR ....X=SQRT(2)=1.4142 </SPAN>\n" );
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