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Complete the square:x²+4x gives (x+2)²-4y²+2y gives (y+1)² -1Therefore,(x+2)²-4+(y+1)² -1=20Rearranging gives:(x+2)²+(y+1)^...

The question is asking for the range of x values that satisfies the inequality. First rearrange the equation to form a quadratic: x² – x – 6 < 0. Factorise the quadratic to find x-intercepts...

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...

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 n...

y²e^2x = 3y + x²1) Differentiation: Product rule, Explicity differentiation.2) Rearrangement: Collecting terms, Making dy/dx subject.