(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I have a square 50x50 units. I want to make a pool(box without a lid), and then cut away the corners. The "corner-square" is x^2.

What I want is a formula X(v) that gives me the x value needed to get a fixed volume.

2. Relevant equations

The V(x) function is base x height, x(50-2x)^2. But i have problems isolating x based on this formula.

3. The attempt at a solution

If i try solving it in Maple I get:

25/2 + 1/2sqrt(625-2v) and 25/2 - 1/2sqrt(625-2v)

but this makes no sense to me.

I've calculated the max volume at x=25/3 to be 250000/27, and the function is only valid from x=0..25.

I guess the answers Maple gives me is because it does not know og my 0..25 range, but I dont know how to make that part of the calculation.

If the problem is unclear, please say so and I will try to explain better.

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# Homework Help: Problem with solving an equation

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