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Maths
GCSE

Solve: 6x + 3 = 3x + 9

There are a few ways to tackle this particular style of problem. First off we can try doing it without using any bracket theory and just focus on the raw numbers (a somewhat simpler approach). Step 1: We'...

CG
Answered by Calum G. • Maths tutor
8215 Views

prove that (3x+1)^2 - (3x-1)^2 is a multiple of 4 for all positive integer values of x

(3x + 1)2 = 9x2 + 6x + 1 (3x - 1)2 = 9x2 - 6x + 1 (9x2 + 6x + 1) - (9x2 - 6x + 1) = 12x 12x/4 = 3x Therefore for all positive integers of ...

KJ
Answered by Katie J. • Maths tutor
7001 Views

Prove that the sqrt(2) is irrational

To do this we will assume sqrt(2) is rational, a fraction, which means: 21/2 = m/n; m,n belong to integers. Also, m/n is an irreductible fraction

JC
Answered by Joao C. • Maths tutor
3952 Views

Expand and simplify 2(a + 3) + 5(a – 1)

Firstly we will start by expanding the brackets. We will do 2a + 23 for the first bracket,  then we will do 5a + 5(-1) for the second bracket which will give us 2a + 6 + 5a - 5. We will ...

SB
Answered by Serena B. • Maths tutor
5083 Views

Factorise and solve x^2 - 8x + 15 = 0

In order to solve a quadratic equation by factorisation you must first find the two numbers which add up to - 8 and multiply to get 15. We can do this by trial and error - first listing all of the pairs o...

LM
Answered by Lucy M. • Maths tutor
5523 Views

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