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How can we determine stationary points by completing the square?

Suppose we have completed the square on y=ax^2+bx+c and attained y=a(x+p)^2+q, where a,b,c,p,q are real numbers with 'a' not equal to zero and p,q can be...

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Answered by Hayk Y. Maths tutor
15970 Views

How do you derive the quadratic formula?

The quadratic formula is the formula that solves any quadratic equation. So, keeping things general, let's begin with a completely general quadratic equation:

ax2+bx+c=0
...

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Answered by Aneesh N. Maths tutor
6366 Views

How do I expand a factorised equation?

Firstly put the equation into the the form (x+a)(x+b) this will make things easier later on.

Therefore, an equation such as (x+1)2 would become (x+1)(x+1)

Next expand the br...

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Answered by Emily G. Maths tutor
3667 Views

How to derive the formula for a geometric series sum

Any geometric series is defined by an initial term a, and a common ratio b. This means that we start with a and multiply by b to get eac...

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Answered by Zeeshan A. Maths tutor
7960 Views

What is standard deviation and how does it work for non-grouped data?

Standard deviation is the spread of data around the mean value. It is useful for evaluating the spread of a selection of data, and is used to compare multiple ...

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Answered by Savannah W. Maths tutor
4828 Views

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