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Express (5x + 4)/(x +2)(x - 1) in partial fractions.

To put this equation into partial fractions we need to consider it in the form: (5x + 4)/(x +2)(x - 1) = A/(x + 2) + B/(x - 1) where A and B are numbers we are trying to find. To do this we need to multiply ...
EW
Answered by Emma W. • Maths tutor
6093 Views

Given the equation 3x^2 + 4xy - y^2 + 12 = 0. Solve for dy/dx in terms of x and y.

Here the key is to remember to differentiate with both x and y with respect to x, where the differential of y is dy/dx. Consider the first term, 3x 2 : This differentiates to 6x. This is done by multiplying ...
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Answered by Emma W. • Maths tutor
5156 Views

Why do square roots have more than 1 solution?

As 3 2 is equivalent to (-3) 2 it follows that the square root of 9 must be + or -3.
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Answered by Masudul H. • Maths tutor
3619 Views

The area of this rectangle is 56 cm2 length = 3k+2 and width = 7 - Find the value of k

The first step in answering any maths question is to identify key words or key information. Key information is area, length and width. We have been told that the total area is 56cm2. We know that area is len...
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Answered by Ayat B. • Maths tutor
3810 Views

How do you simplify the square root of 18 without using a calculator?

Surds can be simplified if the number in the square root has a square number as a factor. It is also worth remembering that SQRT(ab) = SQRT(a) x SQRT(b). So if you combine these two points, lets look at how ...
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Answered by Richard B. • Maths tutor
11065 Views