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For x!=0, multiply the equation by x to get x^4+5x^2+1=0. Then substitute t=x^2 where t>=0. So the equation has a form t^2+5t+1. Then find the discriminant and two roots. One of the roots t2<0 doesn't ...

Get a line a form y=-ax/b-c/b, then substitute into a cirle equation (x-p)^2 +(y-s)^2=r^2. Get a quadratic and find whether a discriminant is equal to zero. If it is then the line is tangent to a circle. Oth...

When talking about a state employing "monetary policy" to achieve macroeconomic objectives (low and steady rate of inflation and growth; low unemployment; stability in the balance of payments), we ...

The important part to any History A-Level is the structure, as it not only shows the examiner your understanding of the question but also your level of knowledge. As an effectively structured argument can ma...

You start by dividing 420 by whichever numbers you know that it is divisible by. 420 is obviously divisible by 10 so you can start with 10 x 42. Then, you factorise 10 and 10 = 2 x 5, so now we know 420 = 2 ...