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Write (x-2)(x+4)=10 in the form ax^2 + bx + c = 0 and work out the values of a, b and c

We should begin by multiplying out the brackets. Firstly, multiply each term in the first bracket with the first term in the second bracket: x times x equals x 2 and -2 multiplied by x is equal to -2x. Next,...
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Answered by Thomas C. • Maths tutor
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Find the area beneath the curve with equation f(x) = 3x^2 - 2x + 2 when a = 0 and b = 2

This question is an example of integrating to find the area underneath a curve between two points. We begin by intergrating the equation. Firstly, to integrate 3x 2 we increase the indice/power by one unit a...
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Answered by Thomas C. • Maths tutor
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White paint costs £2.80 per litre. Blue paint costs £3.50 per litre. White paint and blue paint are mixed in the ratio 3 : 2 Work out the cost of 18 litres of the mixture.

3:2 means there are 5 parts. So 18 litres can be divided by 5, and the price of each part worked out individuallly. 18 / 5 = 3.6 To work out how much the white paint costs: 3.6 x £2.80 = £10.08 £10.08 x 3 (a...
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Answered by Sophia H. • Maths tutor
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Use implicit differentiation to find dy/dx of a curve with equation x^3 + yx^2 = y^2 + 1.

Begin by differentiating each term w.r.t x: d/dx(x^3) + d/dx(yx^2) = d/dx(y^2) + d/dx(1). the terms x^3 and 1 are simple enough to start of with: d/dx(x^3) = 3x^2 and d/dx(1) = 0. Next use the chain rule for...
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Answered by Marlon H. • Maths tutor
5422 Views

How do I expand the following equation (x+4)(x+2)

When dealing with questions to do with expanding brackets, you must multiply every term in one bracket with all the others in the second bracket. So for this question, we can see we have 4 terms in total: Le...
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Answered by Henry M. • Maths tutor
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