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Maths
GCSE

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
3173 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
4238 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
4229 Views

Solve 3x^2 - 4x - 6 = 0.

The at first can seem very challenging and you won't be able to tackle this question quickly using simple factorisation, which you can often do for many questions. It is best in this case then to use the ...

AB
Answered by Aodhan B. Maths tutor
3963 Views

Solve the following simultaneous equations: 3a + 2b = 36 equation ( 1), and 5a + 4b = 64 equation (2)

This question can be answered by the elimination method, substitution method or graphically. I find the elimination method easiest, especially when you can see that the coefficient of a variable (in this ...

AG
Answered by Alejandro G. Maths tutor
5349 Views

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