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s²​ - 18s = 0(s + 4)(s - 6) = 0s = -4 s = 6

To prove that (2n+3)²-(2n-3)² is a multiple of 8 we are going to deal with the first bracket and then the second bracket. When a bracket has ² next to it, this means that ...

1)Take the inverse sin to take x from the sin(2x):

2x=arcsin(0.5).

2)Evaluate arcsin(0.5) to get pi/6:

so 2x= pi/6

3)Dividing by 2 to simp...

When you are differentiating, use the formula:

The differential of ax^n is (n*a) x^(n-1). Or in words: 'multiply by the power, then reduce the power by 1.'

Hence for our que...

There are numerous alternative ways to solve these simultaneous equations. For this problem, one of the simplest methods is to multiply the first equation by 3, so that we get 6x in both equations: