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When we have 2 sides of a right angled triangle, we can use Pythagoras' Theorem to find the third missing side. This theorem states that if we label the hypotenuse (the side opposite the right angle) as <...

In terms of understanding the question, we are asked to look for a common rule that would help us find any term, or member, of the sequence in the question, no matter how big. The "nth" bit they...

x² -4x+4>0 => (x-2)(x-2)>0. We can illustrate this line on a graph showing a quadratic whose vertex is at (2,0). Therefore, the answer to our inequality is x<2,x>2 (but x does no...

As the coefficient of x^2 is not 1, we think of this equation as ax^2 +bx + c. When the coefficient of x^2 is not 1, then we need to firstly multiply the first and last numbers together (8 and -3) which g...

Algebra is fundamentally the way in which we can find out the value of some unknown element. So for example, if a salesman agrees to sell two apples for £10 algebra can help us find out how much one apple...