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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 x 2 +ax+b=0 then simply rewrite the equasion in the form (x+a/2) 2 -(a/2) 2 +b=0. This may sound complicated but is we use numbers ...
EB
Answered by Edward B. • Maths tutor
4153 Views

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 texture ...
FC
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 iff 6x^2 -2kx + 2 = 0...
JG
Answered by Jan G. • MAT tutor
7034 Views

Expand and simplify 3(x+4) - 2(4x+1)

3(x+4) - 2(4x+1)= 3x + 12 - 8x + 2= 3x - 8x + 12 - 2= -5x + 10
PP
Answered by Pioli P. • Maths tutor
6283 Views

Craig weighs 74.2 kg, Connie weighs 67.8 kg, and Chloe weighs 69.4 kg. What is the range of their weight?

6.4 kg
PP
Answered by Pioli P. • Maths tutor
4557 Views