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y = 5x² - 4/x³

1/x can be written as x^-1, which means our equation can also be written as y = 5x² - 4x^-3.

dy/dx means ...

x^2 + y^2 = 9

x + y = 2 

1) Firstly look at the second equation which is the simplest and think how you can rearrange it to fit into the first equation:

(1) 5x + 2y = 20(2) x + 4y = 13Step 1: Eliminate x or y. We do this but making either the x or y terms the same, in this example, I will make the y terms the same, by multiplying the first equation by 2.(...

The first step would be to multiply out the bracket. So, using this example we would times each item inside the bracket by 3.

As a result we would get: 3x + 12 = 18

Then we ...

I am going to assume you know what an irrational number is, given that that should have been taught right at the beginning the topic of surds. When I talk about a “rational” number, here I mean “whole num...