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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: ax 2 +bx+c=0 This is completely general because ...
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Answered by Aneesh N. • Maths tutor
6596 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 brackets. To do this simply multipl...
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Answered by Emily G. • Maths tutor
3861 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 each next term.And so the general geometric series is written:a r^ 0 ,a ...
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Answered by Zeeshan A. • Maths tutor
8178 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 data sets. Ideally a data set would have a low s...
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Answered by Savannah W. • Maths tutor
5047 Views

How would I integrate the indefinite integral x^2 dx?

Remember the rule for integrating is that x^n integrates to x n+1 /(n+1). Here, n = 2 so n+1 = 3. Therefore the integral will be (x 3 )/3. Remember that as the integral has is indefinite- it has no limits- y...
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Answered by Aisling R. • Maths tutor
8221 Views