document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=392768>Question 392768</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i'm trying to help my daughter with homework over the phone<BR>\n" );
document.write( "she is trying to solve the equation x^2 + bx + c = 0<BR>\n" );
document.write( "when x = -4 or 6, what are b and c<BR>\n" );
document.write( "haven't a clue where to start </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #278804 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=278804\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve the equation x^2 + bx + c = 0<BR>\n" );
document.write( "when x = -4 or 6, what are b and c<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "If x = -4 you get: (-4)^2+b(-4)+c = 0<BR>\n" );
document.write( "16-4b+c = 0<BR>\n" );
document.write( "-4b+c = -16<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "If x = 6, you get: (6)^2+b(6)+c = 0<BR>\n" );
document.write( "6b+c = -36<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "Now you have 2 equations with variables b and c.<BR>\n" );
document.write( "-4b+c = -16<BR>\n" );
document.write( "6b+c = -36<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Subtract the top equation from the lower one and solve for \"b\":<BR>\n" );
document.write( "10b = -20<BR>\n" );
document.write( "b = -2<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Solve for c by substituting into 6b+c = -36:<BR>\n" );
document.write( "6*-2+c = -36<BR>\n" );
document.write( "-12+c = -36<BR>\n" );
document.write( "c = -24<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Check in the equation -4b+c = -16<BR>\n" );
document.write( "-4*-2+(-24) = -16<BR>\n" );
document.write( "8-24 = -16<BR>\n" );
document.write( "-16 = -16<BR>\n" );
document.write( "============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );