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Completing the square is a method of solving quadratic equations that cannot be easily factorised, without having to use the quadratic formula. The first step is to look at the coefficient of the second term...

In order to work out the equation for a line, you need the gradient of the line and the coordinates of a point on the line. To find the gradient on the line, you look at two points on the line and calculate ...

If it's not sticking in your head; don't. I find it's easier to just remember what the point of a Taylor expansion is: to express a function as an infinite polynomial, often because polynomials are easy to d...

We can start by recognising one of our properties of log. That is log a (x) - log a (y) = log a (x/y). Performing this on our question we get: log 3 ((3b+1)/(a-2)) = -1. Now we can remove our log and rewrite...

To start, let us recall the form of a quadratic equation. y = ax 2 + bx + c. When making x the subject of the formula and setting y = 0, we get the quadratic formula, as you may have seen before. x = (-b +- ...