document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=31503>Question 31503</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 5.If a+b+c=0,then 3a*x*x+2b*x+c=0 has<BR>\n" );
document.write( "A.atleast one root in [-1,0]<BR>\n" );
document.write( "B.atleast one root in [0,1]<BR>\n" );
document.write( "C.atleast one root in [-1,1]<BR>\n" );
document.write( "D.atleast one root in [0,2] </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #18358 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=18358\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I DONT KNOW YOUR COURSE OF STUDY AND BACK GROUND KNOWLEDGE.I HOPE YOU KNOW CALCULUS AND ROLLE'S THEOREM.I AM ANSWERING ON THAT BASIS<BR>\n" );
document.write( "CONSIDER F(X)=AX^3+BX^2+CX.....<BR>\n" );
document.write( "WE HAVE <BR>\n" );
document.write( "F(0)=A*0^3+B*0^2+C*0=0<BR>\n" );
document.write( "F(1)=A*1^3+B*1^2+C*1=A+B+C=0..AS GIVEN....SO AS PER ROLLE'S THEOREM <BR>\n" );
document.write( "WHEN A CONTINUOUSLY VARYING FUNCTION HAS 2 ZEROES AT BOTH ENDS OF AN INTERVAL...THEN ITS DERIVATIVE WILL HAVE A ZERO AT ONE POINT WITHIN THE INTERVAL.HENCE<BR>\n" );
document.write( "DF/DX=3A*X^2+2B*X+C=0 BETWEEN X=0 AND X=1   <BR>\n" );
document.write( "SO B IS THE ANSWER </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );