document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=691732>Question 691732</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write an equation of the form f(x)=ax^2+bx+c in which f(0)= -6 f(2)= -3 and f(4)=2\r<BR>\n" );
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document.write( "I found out that c is -6, I tried using the sum and product of roots but I can't figure it out, please help? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #426835 by </B><A HREF=/tutors/aboutme.mpl?userid=sachi><B>sachi(548)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sachi><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=sachi><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=426835\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x)=ax^2+bx+c <BR>\n" );
document.write( " f(0)= -6 <BR>\n" );
document.write( "or a*0+b*0+c=-6<BR>\n" );
document.write( "or c=-6 .............1<BR>\n" );
document.write( "f(2)= -3 <BR>\n" );
document.write( "or a*2^2+b*2+c =-3<BR>\n" );
document.write( "or 4a+2b-6=-3<BR>\n" );
document.write( "or 4a+2b=6-3=3.......2<BR>\n" );
document.write( "f(4)=2<BR>\n" );
document.write( "a*4^2+b*4+c =2<BR>\n" );
document.write( "or 16a+4b-6=2<BR>\n" );
document.write( "or 16a+4b=6+2=8<BR>\n" );
document.write( "or 4a+b=8/4=2.......3<BR>\n" );
document.write( "subtracting eqn 3 from eqn 2<BR>\n" );
document.write( "4a+2b=3<BR>\n" );
document.write( "4a+b=2<BR>\n" );
document.write( "- - -<BR>\n" );
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document.write( "b=1<BR>\n" );
document.write( "putting this in eqn 2<BR>\n" );
document.write( "4a+2*1=3<BR>\n" );
document.write( "or 4a=3-2=1<BR>\n" );
document.write( "or a=1/4<BR>\n" );
document.write( "so a=1/4,b=1&c=-6<BR>\n" );
document.write( "ans </SPAN>\n" );
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