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Firstly you want to factorise this expression. You have n², so you know you want to multiple n by itself. Next, you want to think carefully about what two numbers add to get -...

You want to end up an equation that show what a is in terms of p. To make things simpler, we want to get rid of the fraction on the right by multiplying both sides by (4 - a). If we do this we end up with...

This question usually comes up at AS level where students have prior knowledge of quadratic functions:We need to 1) understand the 'shape' 2) locate the roots 3) Find the turning point 4) sketch the graph...

To answer this question, create the least common denominator possible. In this instance, the LCD is 40. (I know this because multiples of 5 only end in 0 and 5, and 40 is the lowest multiple of 8 that mee...

let x1 = 0, y1 = 0 in (0,0) and let x2 = 8 and y2 = 8 in (8,8). To find the gradient, we would do (y2 - y1)/(x2-x1) = 1. To find the length, we would do the square root of the following: (y2-y1)^2 + (y2-y...