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What can I say about the roots of a quadratic equation without actually calculating them?

If a quadratic equation is of the form ax 2 +bx+c, calculate D (Discriminant) whose value is b 2 -4ac. If the value of D is negative, the equation has imaginary roots. If the value of D is positive, the equa...
SS
Answered by Swapnil S. Maths tutor
5067 Views

How can I integrate e^x sinx?

Such an integral looks difficult to manage; clearly it is a case of integration by parts, but neither part of the product appears to reduce easily into a nicer form. The key here is use the fact that sinx ha...
AW
Answered by Alex W. Maths tutor
6661 Views

When do you use 'n choose k' and where does the formula come from?

When do you use n choose k ? Say you have n objects/elements, and each one can either be selected or not selected. ‘ n choose k ’ gives you the number of different ways in which you can end up with k selecte...
TB
Answered by Tom B. Maths tutor
21497 Views

Find the mean, median, mode and range of this data: 2, 5,6,12,5

To find the mean you must add all of the numbers together (2+5+6+12+5) and divide by how many numbers you have in your data set (5). Mean = 30 : 5 = 6 To find the median you must first order your numbers fro...
JT
Answered by Jonathan T. Maths tutor
10974 Views

How do I factorise 3xy^2 – 6xy fully?

When we factorise, we do so to make the expression more simple. Factorising is when we take common factors from the expression and group them together, and then multiply these common factors by something to ...
MH
Answered by Matthew H. Maths tutor
37281 Views