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Why is completing the square useful and how do you do it?

Completing the square is nice and easy. If you have an equasion of the form x²+ax+b=0 then simply rewrite the equasion in the form (x+a/2)²-(a/2)² +b=0. This may sound com...

Answered by Edward B. • Maths tutor

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What should we listen out for in the unheard piece in the exam?

For the unheard essay question, you must try and repeat the unknown piece to one of your set works. The question will already outline certain categories to listen out for such as melody, harmony and textu...

Answered by Francesca C. • Music tutor

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Let f(x) = 2x^3 − kx^2 + 2x − k. For what values of the real number k does the graph y = f(x) have two distinct real stationary points? (MAT 2017 q1.A)

A point a is a stationary point if and only if f'(a) = 0.
Let's compute the derivative:
f'(x) = (2x^3 − kx^2 + 2x − k)' = 6x^2 - 2kx + 2. (-k is a constant so it cancells out)
f'(x) = 0 i...

Answered by Jan G. • MAT tutor

6313 Views