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Show that ((sqrt(18)+sqrt(2))^2)/(sqrt(8)-2) can be written in the form a(b + 2) where a and b are integers.

First we expand the brackets on the numerator and collect the terms together. We need to get rid of the square root term on the denominator, and we do this by multiplying the numerator and denominator by ...

Answered by Olivia A. • Maths tutor

15202 Views

Solve the simultaneous equations to find x and y. 4X=8Y+24; 7Y=23-2X

To solve these simultaneous equations I will use the substitution method. This method consists of finding out the value of one of the variables (X and Y) and then substituting this value into the other eq...

Answered by Callum O. • Maths tutor

2451 Views

Prove that the square of an odd number is always 1 more than a multiple of 4

First we need to find a general form for an odd number, so that we can prove that when we square it, it will be 1 more than a multiple of 4 regardless of which odd number it is. An even number can always ...

Answered by Isobel A. • Maths tutor

1969 Views

Solve the simultaneous equations x^2+y^2=1 and x+2y=1

x=1,y=0 or x=-3/5,y=4/5

Answered by Rosie P. • Maths tutor

3461 Views

Before an exam, I always go through as many past papers as possible but I still don't know how to do the questions on an exam when they come up, why and what can I do?

Despite getting lots of practice being very important, maths is not really a memory based subject and you shouldn't be just going through the all the questions before you have tried to fully unde...

Answered by Simone L. • Maths tutor

2000 Views