• We are pleased to announce that the winner of our Feedback Prize Draw for the Winter 2024-25 session and winning £150 of gift vouchers is Zhao Liang Tay. Congratulations to Zhao Liang. If you fancy winning £150 worth of gift vouchers (from a major UK store) for the Summer 2025 exam sitting for just a few minutes of your time throughout the session, please see our website at https://www.acted.co.uk/further-info.html?pat=feedback#feedback-prize for more information on how you can make sure your name is included in the draw at the end of the session.
  • Please be advised that the SP1, SP5 and SP7 X1 deadline is the 14th July and not the 17th June as first stated. Please accept out apologies for any confusion caused.

I expect this is a really obvious question

M

madge

Member
but am having problems working out values of A and B in following equation....

A(X + 4) + B(2X + 1) = 2X^2 + 14X + 10

Can't seem to work it out....just wondered if anyone else knows...

any help appreciated....

Madge
 
1. Multiply LHS out so you can get terms in x^2, x and constant
2. You should get 0 terms in x^2, (A+2B) terms in x and (4A+B) terms in the constant so:
A+2B=14 and
4A+B= 10
3. You can now solve these 2 eqns simultaneously.

ps if you feel that your algebra isn't up to scratch you I think the Foundation ActEd Course (FAC) should help.
 
Sorry madge I think my solution was incorrect! My terms in x^2 dont match up.
 
Hi Madge

An answer is A = 2, B = (2x + 2)
Giving:
2(2x + 1) + (2x + 2)(x+4) = 4x + 2 + 2x^2 + 8x + 2x + 8
= 2x^2 + 14x + 10
 
thanks v much veeko, gareth abi...

help really appreciated...
 
Back
Top