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## Homework Statement

Find the coordinates of the points on these curves at which the gradient has the given values.

y=1/3x^(3/2)-x^(1/2), gradient=3/4

## The Attempt at a Solution

Basically the problem I have isn't really finding the answer because.....

x^(1/2)-x^-(1/2)=6/4[/b] and then from here I just used trial and error to find 4, but I want to know how I would follow it through with the algebra, i.e. only has x on one side as one term e.g. x= ans.

Thanks in advance,

kauymatty