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de Moivre worked out a brilliant and beautiful way to solve complex equations.

If you for example have z³= 1 and you want to find all real and complex z that satisfy thi...

expand the brackets to get x²-2x+3x-6=4x+22 bring all the terms to one side x²-2x+3x-6-4x-22=0 (remember:if you do something to one side, do the same thing to the other! e.g. -4x on ...

To find the gradient of the curve at t=2 we need to find an expression for dy/dx and then substitute in for t=2. We can make use of the chain rule to find this expression because dy/dx = (dy/dt)/(dx/dt) a...

To solve the inequality, it must first be factorised. This could be done by the ‘complete the square’ method. However in this example it is more efficient to find a pair of numbers that multiply to give t...

Whenever you have a question asking you to solve an algebraic equation with only one unknown (x) you must put all 'x' terms on one side of the equation and all non-'x' terms on the other: 1. Take 2x away ...