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The trick with this question is noticing the hidden quadratic as quartic equations are unsolvable at A-level.

Letting u=x^2 the question becomes u^2+2u-3=0 which most students would be able to solv...

Example.

" Solve the simultaneous equations

y + 4x + 1 = 0

y^2 + 5x^2 + 2x = 0 "

We can rearrange the first equation to something that we can substitute into the seco...

Considering that: 9=3^2. We get: 9^(x+1)=3^2*(x+1)= 3^(2x+2).

We thus solve x^2-5x+2=2x+2

which is x=0 and x=7

it will be demonstrated with more detail during the session 

Conversion of trigonometric functions:

cos(30°) = √3 / 2

tan(60°) = √3

Computing equation with trigonometric substitutions:

12 cos(30°) - 2 tan(60°) = 12 (√3 / 2)...

First draw the triangle and label all the information you have as well as the unknown angle or side length. There should be at least one angle labelled with some informtion - use this angle to label the o...