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How do I use completion of the square to solve a quadratic function?

I'll use an example to illustrate this:"find the roots of x2+6x-15"The advantage of completing the square for a quadratic is that it also gives the turning point of the parabola.Here,...

Answered by Laure-Anne H. Maths tutor
2720 Views

There are 10 boys and 20 girls in a class. The mean mark in a test for all the class is 60. The mean mark for the girls is 54. Work out the mean mark for the boys.

First let us consider how we calculate the mean test mark in the first place, we add up the individual test marks of the entire class to give the total test mark then we divide by the number of students. ...

Answered by Adam D. Maths tutor
61124 Views

Given that y = 16x + 1/x , find the two values of x for which dy/dx = 0

The first stage of this question involves differentiating the equation of y in terms of x given to us. In order to differentiate, we first need to write y in terms of base x (where all the terms are x to ...

Answered by Andrew K. Maths tutor
4653 Views

What is the simples way to integrate by part?

In a case of integral that you want to integrate once using technique "by parts" you have to divide your integral into two functions.Working on an example, f(x)=x sinxLet g(x)=x and h'(x)= sin x...

Answered by Michał K. Maths tutor
1099 Views

The arithmetic series is given by (k+1)+(2k+3)+(3k+5)+...+303. a)Find the number of term in the series in terms of k. b) Show that the sum of the series is given by (152k+46208)/(k+2). c)Given that S=2568, find k.

a) I would start by trying to see if the student can do it by himself. In the case the student does not know how to start, I would start by asking him if can find the general term. Here there are two ways...

Answered by Bogdan P. Maths tutor
8107 Views

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