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To explain this to a student, I would start by explaining the general formula for a quadratic equation, (ax^2 + bx + c = 0). Then I would show using an example, how the a,b and c can be substituted with n...

You would use Pythagoras theorem, which states, a^2 + b^2 = c^2. Where a is the opposite side to the angle, b is the side adjacent to the angle and c is the hypotenuse.

So if a = 3 cm, and b = 4 c...

The first thing we want to do is change the first equation so it's either all x's or all y's, we don't want a mixture. Now looking at the bottom equation, we can rearrange it by adding y to both sides. Th...

For this question we have to use the chain rule. The chain rule is dy/dx (the differential you are looking for) = du/dx (the differential of u with respect to x) * dy/du(the differential of y with respect...

First of all we must consider the fraction. To eliminate this we multiply both sides through by 3x-1. We then end up with y(3x-1)=(x+2)+2(3x-1). The next step is to expand out the brackets and collate ter...