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ln(2x^2 + 9x – 5) = 1 + ln(x^2 + 2x – 15). Express x in terms of e

ln(2x²+ 9x – 5) = 1 + ln(x² + 2x – 15)ln(2x²+ 9x – 5) – ln(x² + 2x – 15)= 1 ln((2x²+ 9x – 5)/(x² + 2x – 15)) = 1(2x²+ 9x – 5)/(...

Answered by Sylvain F. • Maths tutor

4568 Views

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

Answered by Hannah B. • Maths tutor

4008 Views

express the number 84 as a product of its prime factors

84/2 = 4242/2 = 2121/3 = 77 /7 = 1therefore answer is 2x2x3x7

Answered by Hannah B. • Maths tutor

7689 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).
a²+ b² = c²

Answered by Zhane E. • Maths tutor

3284 Views

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 - 6x²
As dy/dx represents the gradient, we know that for a stationary point the gradient must be zero, hence for the...

Answered by Bradley W. • Maths tutor

5869 Views