Search over 10,000 free study notes

x² + 4x -16 = 0 (x+2)² -20 = 0 We note that the coefficient of x² is 1 and the coefficient of x is 4. Therefore we say the that square is (x+2). This leaves us with an additional 4 from this ex...

An arrangement is a permutation when we care about the order of the elements in it, and a combination when we do not. So if we are for example choosing a group of 3 people from 10 students, we do not care...

We add probabilities when the corresponding events are alternatives, e.g. P(rolling a 4 on a pair of dice) = P(rolling a 1 and a 3) + P(rolling a 2 and a 2). These are mutually exclusive events which can'...

1. Factorisation: x² - 5x + 6 = (x - 2)(x - 3) This method is the quickest to perform if the roots are simple but does rely on a bit of trial and error. The method lets you find the roots of...

First, we must find the two points at which the curve crosses the boundary. To do this, set y=0 and solve.0 = 5x - 2x² - 20 = (2x - 1)(-x+2)This gives that x = 0.5 and x = 2Next, we integrate w...