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Complete the square:x 2 +4x gives (x+2) 2 -4y 2 +2y gives (y+1) 2 -1Therefore,(x+2) 2 -4+(y+1) 2 -1=20Rearranging gives:(x+2) 2 +(y+1) 2 =25Comparing to the standard equation for a circle:(x-a) 2 +(y-b) 2 =r...

The question is asking for the range of x values that satisfies the inequality. First rearrange the equation to form a quadratic: x 2 – x – 6 < 0. Factorise the quadratic to find x-intercepts: ( x – 3 )( ...

Region which a force acts on a charged particle and the force is same at all points.

We will set the answer layout first by forming 2 brackets. (x+a)(x+b)=0We then look at the signs used, particularly negative signs. In this question, there is a minus sign before the 4.This means that one of...

Finding the solutions to trig equations begins in a very similar way to when we do it at GCSE. We start with:cos(2x) = 2 -1/2 0 <= x <=piand correct our range, as we are interested in 2x not just x: 0 ...