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First expand out the brackets: 5x-15 = 4y -3xy Then re-arrange to bring all the x terms to one side: 5x+3xy = 4y +15 Now factorise: x(5+3y) = 4y + 15 Now we have isolated the x term, we can divide both si...

we have dy/dx = -x/y , so we treat the differentials as fractions and write y dy = -x dx. Now integrating the left side with respect to y and the right side with respect to x, we have y²/2 = -x...

First you need to understand what an index (or power) is. It’s just a compact way of writing a number multiplied by itself a number of times. For example:

 3^4...

When you differentiate a function which has only one parameter, like f(x), you are finding a new function, f'(x), which gives the gradient of your original function at every point. You'll probably remembe...

Firstly we will put this into a form equal to zero, by rearranging to get x³-2x²-5x+6 = 0. This is because in order to solve a polynomial we first need to set it equal to zero. We no...