Search over 10,000 free study notes

Firstly, it is important to recognise that the answer will need to be in the form of two pairs of brackets because the question is asking us to factorise a quadratic equation. The equation only has a sing...

Implicit differentiation is used when the function you need to differentiate is not in the form y = f(x). For example: y⁴ + 3x² - 10 + 2y² = 4xThe first step is to differe...

First expand the bracket (x-3)² separately to give x² - 6x +9 Next multiply by the 4 outside the brackets to give 4x² -24x +36 Now all the terms have been expanded you can...

3x + 2y = 12 (2) multiply by 4 (To make the x coefficients equal for both equations)
12x + 8y = 48 (3)
(3) - (1)
12y = 36
Divide through by 12
y = 3
Sub y = 3 into eq...

Factorising the left hand side we get x² + x - 6 = (x + 5)(x - 4). Therefore x² + x - 6 = 0 is the same as (x + 5)(x - 4) = 0. If multiplying two quantities equals 0, this means that...