document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=263155>Question 263155</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A parabola with equation y=x^2+bx+c passes through the points (2,3) and (4,3). What is c?<BR>\n" );
document.write( "(A)2            (B)5               (C)7         (D)10            (E)11\r<BR>\n" );
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document.write( "(from AMC 10 2006 A). I'm in 7th grade and i need to study for the upcoming AMC 10 2010 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #193921 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=193921\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> step 1 - plug in the coordinates to get 2 equations as<BR>\n" );
document.write( "(i) 3 = 4 + 2b + c<BR>\n" );
document.write( "(ii) 3 = 16 + 4b + c<BR>\n" );
document.write( "now take (ii) - (i) to get<BR>\n" );
document.write( "(iii) 0 = 12 + 2b<BR>\n" );
document.write( "so,<BR>\n" );
document.write( "b = -6<BR>\n" );
document.write( "substitute this back into (i) to get<BR>\n" );
document.write( "(iv) 3 = 4 + (-6)2 + c<BR>\n" );
document.write( "c = 11 </SPAN>\n" );
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