Top answers

(x+2)/(x-3) - (x-1)/(x+3) can be written in the form (ax+b)/(x^2-9). Work out the value of a and the value of b.

Recall that in order to add and subtract fractions, they must have the same denominator. Therefore, we multiply the first fraction by (x+3)/(x+3) and the second fraction by (x-3)/(x-3) to create a common den...
HP
Answered by Hannah P. • Maths tutor
5672 Views

Solve the simultaneous equations 5x + y = 21, x - 3y = 9

Method 1 - By Elimination: Firstly, understand that in order to eliminate a variable, the coefficient needs to be the same for the variable in both equations. We can eliminate the x variable by multiplying t...
RV
Answered by Rahil V. • Maths tutor
3575 Views

Using the parametric equations x=6*4^t-2 and y=3*(4^(-t))-2, Find the Cartesian equation of the curve in the form xy+ax+by=c

Firstly make t the subject for both equations (x-7)/6=4^t (y+2)/3=4^(-t) Times them together to eliminate t ((x-7)/6)((y+2)/3) = (4^t)*(4^-t)=4^0=1 Rearrange to the form required (x-7)(x+2)=18 xy-7y+2x-14=18...
AC
Answered by Anya C. • Maths tutor
3514 Views

Simplify (2sin45 - tan45)/(4tan60) and leave your answer in the form of (sqrt(a)-sqrt(b))/c

To answer this question we need to remember the exact trig values.A trick I use for remembering these is the hand rule .For this you label any one of your hands with the set angles starting at your pinky fin...
IK
Answered by Isabella K. • Maths tutor
5347 Views

f(x)= 2x^3 -7x^2 + 2x +3. Given that (x-3) is a factor of f(x), express f(x) in a fully factorised form.

We will mainly be using a whiteboard but here are some notes:Is (x-3) is a factor of f(x), then if x=3, f(x) =0. I.e. x=3 is a solution too. If we know x =3 is a solution we can solve the other 2 roots by di...
RR
Answered by Rumana R. • Maths tutor
5103 Views