document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=62816>Question 62816</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find real numbers a, b, and c such that the graph of the function ax^2 + bx + c contains the points (1,1), (2,4), and (-3,29). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #43668 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=43668\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> SEE THE FOLLOWING EXAMPLE AND TRY.IF STILL IN DIFFICULTY PLEASE COME BACK<BR>\n" );
document.write( "------------------------------------<BR>\n" );
document.write( "Find an equation of the form y = ax^2 + bx + c whose graph passes through the points (1,-2) (2,-1), and (3,4).<BR>\n" );
document.write( "SUBSTITUTING THE VALUE OF X FROM POINTS(X,Y) IN THE GIVEN EQN. FOR Y WE GET<BR>\n" );
document.write( "A+B+C=-2...................1<BR>\n" );
document.write( "4A+2B+C=-1.......................2<BR>\n" );
document.write( "9A+3B+C=4............3<BR>\n" );
document.write( "EQN.2-EQN.1<BR>\n" );
document.write( "3A+B=1................4<BR>\n" );
document.write( "EQN.3-EQN.2<BR>\n" );
document.write( "5A+B=5.................5<BR>\n" );
document.write( "EQN.5 - EQN.4<BR>\n" );
document.write( "2A=4<BR>\n" );
document.write( "A=2<BR>\n" );
document.write( "SUBSTITUTING IN EQN.4....<BR>\n" );
document.write( "6+B=1<BR>\n" );
document.write( "B=-5<BR>\n" );
document.write( "SUBSTITUTING IN EQN.1<BR>\n" );
document.write( "2-5+C=-2<BR>\n" );
document.write( "C=1<BR>\n" );
document.write( "HENCE THE EQN.IS<BR>\n" );
document.write( "Y = 2X^2-5X+1<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );