document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=196014>Question 196014</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The Function 'f' is defined by f(x)=ax2+bx+c.Given that f(0)=6,f(-1)=15 and f(1)=1,find the values of a,b,c </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #146973 by </B><A HREF=/tutors/aboutme.mpl?userid=dkala99><B>dkala99(12)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dkala99><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=146973\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x)=ax^2+bx+c\r<BR>\n" );
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document.write( "         f(0) = 6<BR>\n" );
document.write( "a(0)^2+b(0)+c = 6<BR>\n" );
document.write( "        0+0+c = 6<BR>\n" );
document.write( "            c = 6\r<BR>\n" );
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document.write( "          f(-1) = 15<BR>\n" );
document.write( "a(-1)^2+b(-1)+c = 15<BR>\n" );
document.write( "          a-b+c = 15<BR>\n" );
document.write( "          a-b+6 = 15 <BR>\n" );
document.write( "            a-b = 15-6<BR>\n" );
document.write( "            a-b = 9 -----> equ 1\r<BR>\n" );
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document.write( "           f(1) = 1<BR>\n" );
document.write( "  a(1)^2+b(1)+c = 1<BR>\n" );
document.write( "          a+b+c = 1<BR>\n" );
document.write( "          a+b+6 = 1<BR>\n" );
document.write( "            a+b = 1-6<BR>\n" );
document.write( "            a+b = -5 -----> equ 2 \r<BR>\n" );
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document.write( "solve equ 1 and 2\r<BR>\n" );
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document.write( "           a-b = 9  (+)<BR>\n" );
document.write( "           a+b = -5<BR>\n" );
document.write( "           ---------<BR>\n" );
document.write( "           2a  = 4<BR>\n" );
document.write( "             a = 2<BR>\n" );
document.write( "from equ 2<BR>\n" );
document.write( "a+b = -5<BR>\n" );
document.write( "2+b = -5<BR>\n" );
document.write( "  b = -5-2<BR>\n" );
document.write( "  b = -7\r<BR>\n" );
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document.write( "a = 2 ; b = -7 ; c = 6 <BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "check in f(1)=1\r<BR>\n" );
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document.write( "f(1) = 2(1)^2+(-7)(1)+6<BR>\n" );
document.write( "     = 2-7+6<BR>\n" );
document.write( " f(1)= 1   \r<BR>\n" );
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document.write( " </SPAN>\n" );
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