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When solving this quadratic inequality, we should use a three-step approach. The first step is to reformat the inequality to put one side equal to zero, which is the standard format of a quadratic equatio...

The trick here is to use a technique called the difference of squares. If we multiply the top and bottom of the fraction by the conjugate* of the denominator, we can remove any square root terms from the ...

First take natural logs of both sides, giving us: ln(3^x * e^4x) = ln(e⁷).  The RHS can be simplified using the definition of natural logs, so ln(e⁷) = 7.

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A key example of a poet expressing change comes in Carol Ann Duffy's 'Originally' from her 1990 collection The Other Country. In the poem, Duffy utilises imagery such as that of the turn...

An accent is commonly associated with sounds of a particular variety, so pronunciation. A dialect is commonly associated with the lexis and grammar of a variety e.g. the non-standard 'I were' in some Manc...