Search over 10,000 free study notes

Surds are irrational numbers that can't be represented accurately as a fraction or reccuring decimal, so they are left as a square root. For example: √ 3 . Calculate the square root of 3 using your calculato...

This is a very common mistake, so don't worry. To see why this is the case, let's go back through our notes to the "laws of indices" and recall the rule for adding powers; a m * a n = a (m+n) The e...

First put everything to one side, 6x 2 + 7x - 3 > 0 Then factorise the LHS, (3x - 1)(2x + 3) > 0 Get two answers for x, x = 1/3 or x = -3/2 Then work out where the values of x will make the equation ab...

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 ...