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Solve the equation 3x^2/3 + x^1/3 − 2 = 0

Let u = x^1/3

The equation can therefore be written as:

3u^2+u-2=0

This can be factorised to:

(3u-2)(u+1)+0

Therefore: u = 2/3 or u = -1 OR x^1/3 = 2/3 or x^1/3 = -1

Answered by Namita H. • Maths tutor

9109 Views

How many thirds are there in eight?

Whilst this question seems complicated because numbers have been thrown in with words it is infact a simple question. There are 3 thirds in one.

1/3 + 1/3 + 1/3 = 1

Therefore there are 8 x 3...

Answered by Tori F. • Maths tutor

23385 Views

How do you differentiate using the chain rule?

In order to differentiate using the chain rule,you first need to know the chain rule. Chain rule : dy/dt * dt/dx = dy/dx.

It is basic multiplication to get rid of the common factor of 'dt' in both ...

Answered by Niha G. • Maths tutor

3288 Views

Consider the arithmetic sequence 2, 5, 8, 11, ... a) Find U101 b) Find the value of n so that Un = 152

Firstly, as with any question, make sure to check your formula book in order to find any relevant equations. In this case, the one most relevant to us is U_n = U₁ + d(n-1).
From...

Answered by Kirsty W. • Maths tutor

11731 Views

A curve has equation y^3+2xy+x^2-5=0. Find dy/dx.

To find the derivative of this, we must differentiate each term with respect to x. This implies d/dx(y^3+2xy+x^2-5=0). We can differentiate each term seperately so d/dx(y^3+2xy+x^2-5=0) is equal to d/dx(y...

Answered by Matthew C. • Maths tutor

4810 Views