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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.

With linear simultaneous equations the best thing to do is find one variable first and in this question we will find x first. We will start by rearranging the second equation to give us y = x - 6. Now we ...