Top answers

Express (3 + 13x - 6x^2)/(2x-3) in the form Ax + B + C/(2x - 3)

The answer is -3x + 2 + 9/(2x-3). That is A = -3, B = 2 and C = 9. I will use the whiteboard during my interview to explain the working.
SM
Answered by Sam M. • Maths tutor
5758 Views

Christine has more money than David. If Christine gave David £30, then they would have the same amount. If David gave Christine £33, then Christine would have twice as much money as David. How much money does each person have?

We need to start by translating the sentences into algebraic equations. There are 2 unknowns, Christine’s money and David’s money. Let Christine’s money= x Let David’s money = y If Christine gave David £30, ...
BC
Answered by Ben C. • Maths tutor
3556 Views

Solve the equation "3y + 5 = 11" to find the value of y.

Remember that both sides of the equation need to 'balance', so any changes that we make to the right hand side must also be made to the left hand side. Let's start by getting rid of the '5' on the left hand ...
RP
Answered by Roshni P. • Maths tutor
6960 Views

Using the substitution u = 2 + √(2x + 1), or other suitable substitutions, find the exact value of 4 0 1 ∫ 2 (2 1) +√ +x dx giving your answer in the form A + 2ln B, where A is an integer and B is a positive constant

I will attach a file with the solution during the interview because it is difficult to type the solution in here.
GB
Answered by Georgica B. • Maths tutor
10189 Views

How to solve the following simultaneous equations? Equation 1: 3x+y=10 Equation 2: 2x-y=5

There are 2 easiest and quickest ways to approach this question: 1). By elimination: When using the elimination method, you want to make sure that you choose the correct variable to eliminate to ensure only ...
AC
Answered by Angel C. • Maths tutor
9488 Views