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Roots = where line touches x-axis. Set equation equal to 0 as y=0 at the x-axis. Now we need to solve for the x values at which y=0. Quadratic is now 0=x^2+5x+6. Factorise quadratic: 0=(x+3)(x+2). Now you...

For your AQA English exam, you are assessed on four key categories. Each of these categories is called an ‘Assessment Objective’ - an AO. The first of these AOs, AO1, is to ‘read, understand and respond t...

To solve simulatenous equations there are two main methods, substitution and elimintion. The first method requires the principle where if x is equal to a number, say x=2 then we can substitute this in, fo...

f'(x)= 3x^2+1/3x^(-2/3)

To differentiate you need to multiply the coefficant of the x dependent terms by the powers and then the power of x goes down by one. 

For example: differentiate f(x)...

Let’s define the efficiency first. The efficiency is basically the ratio between what we want over what we pay for. So, we want to lift an object up to a height, say H. In the ideal scenario we lift that ...