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Solve the simultaneous equations: x^2 + y^2 = 25 and y − 2x = 5

x 2 +y 2 =25, y-2x= 5 y = 5+2x -----> y 2 = (5+2x) 2 = 25 + 20x +4x 2 x 2 + 4x 2 + 20x + 25 = 25 5x 2 + 20 x = 0 x = 0 y = 5+(2*0) y=5
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Answered by Alex G. • Maths tutor
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a) Factorise the following expression (x^2)-49 b) Differentiate the following equation y = (x^2) - 49 and find the stationary points of the equation

a) (x+7)(x-7) b) y = (x^2) - 49 y' = 2x 0 = 2x x = 0 y = (0^2) - 49 y = -49, x = 0
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Answered by Thomas G. • Maths tutor
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Show that (sqrt(3) + sqrt(75))^{2} = 108

The key here is to simplify the left hand side. There are two different approaches to take here, one slightly faster but both perfectly legitimate. First approach: Remember the formula (a + b)^{2} = a^{2} + ...
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Answered by Callum B. • Maths tutor
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What do arteries veins and capillaries do?

Arteries, veins and capillaries are the three types of blood vessels in our bodies. We need blood vessels to carry our blood around the body. The importance of blood Blood has to be circulated around the bod...
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Answered by Charlotte M. • Biology tutor
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What is the difference between simple and compound interest?

Simple interest means the amount of money increases by the same amount each year, compound interest means the amount of money increases by the same proportion each year. For example if you deposited £100 in ...
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Answered by James S. • Maths tutor
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