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First factorise the equation into 2 sets of brackets: You can do this by looking at the constant in the quadratic, 8. Try and find 2 numbers that multiply together to make 8 (such as 4 and 2), and that...

To start off with we need to remove the two denominators (the bottom part of the fractions) on the left hand side of the equation. This can be achieved by multiplying the through the whole equation by ...

Lets say you are in a cubical grain silo, with a height of 12m, and a base with dimensions 3m by 4m. If you wanted to fit a pole in the silo, what is the largest possible length of the pole? 

If we apply a function and then its inverse, we should get back to where we started. 

Suppose we start with an element x. If we apply f to it, we get to x+2. In order to get back to where...

This is often overlooked as no-one gives a reason to why this is and is often stated as a fact. We start off with the basic indice law of x^y * x^z = x^y+z.
For example,...