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express (1+4(root7)) / (5+2(root7)) as a+b(root7), where a and b are integers

1+4(root7) x 5 - 2(root7) 5+2(root7) 5 - 2(root7) 5 - 2(root7) + 20(root7) - (8x7) 25 - (4x7) 5 +18(root7) - 56 -3 -51 + 18(root7) -317 - 6(root7)ie a = 17, b = -6
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Answered by Hannah B. • Maths tutor
4415 Views

express the number 84 as a product of its prime factors

84/2 = 4242/2 = 2121/3 = 77 /7 = 1therefore answer is 2x2x3x7
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Answered by Hannah B. • Maths tutor
8764 Views

How can I use the Pythagoras' Theorem to work out the length of a missing side of a triangle?

We have the triangle ABC. AB = 3 BC = 4 AC = ? By inputting these numbers into the Pythagoras' Theorem, we can out the length of the missing side (AC). a 2 + b 2 = c 2 AB 2 + BC 2 = AC 2 9 + 16 = AC 2 25 = A...
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Answered by Zhane E. • Maths tutor
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A curve has equation y = 20x −x2 −2x3 . (A) Find the x-coordinates of the stationary points of the curve.

Firstly, differentiate the equation to find dy/dx. dy/dx = 20 - 2x - 6x 2 As dy/dx represents the gradient, we know that for a stationary point the gradient must be zero, hence for the stationary points, we ...
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Answered by Bradley W. • Maths tutor
6344 Views

Show that (x + 1)(x + 2)(x + 3) can be written in the form ax3 + bx2 + cx + d where a, b, c and d are positive integers.

lets expand the first two brackets first, so x * x gives x 2 , x * 2 gives 2x, x * 1 gives x and 1 * 2 = 2. 2x and x are both in terms of x so we add these together to get 3x, giving us the quadratic (x 2 + ...
AC
Answered by Annunzia C. • Maths tutor
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