document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=197616>Question 197616</A>: <I><SPAN STYLE=\"word-break: break-all;\"> f(x)= ax^2+bx+5 <BR>\n" );
document.write( "Find a and b if f(x+1)-f(x)=8x+3<BR>\n" );
document.write( "Can someone please help me with this problem ive never learned how to do a problem like this and i have to have it done for tomorrow. Your help would be greatly appreciated! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #148185 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=148185\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  f(x)= ax^2+bx+5 <BR>\n" );
document.write( "Find a and b if f(x+1)-f(x)=8x+3<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Find f(x+1)<BR>\n" );
document.write( "f(x+1) = a*(x+1)^2 + b*(x+1) + 5<BR>\n" );
document.write( "= ax^2 + 2ax + a + bx+b +5<BR>\n" );
document.write( "  ax^2           + bx +5  Subtract f(x)<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "= 2ax + a + b<BR>\n" );
document.write( "That's = 8x+3<BR>\n" );
document.write( "2a = 8<BR>\n" );
document.write( "a = 4<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "a+b = 3<BR>\n" );
document.write( "b = -1<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );