SOLUTION: (25-2x)(10-2x)(x)-175<=0 How do I find the roots of this problem? The three answers for x that I come up with are (0,5,12.5). All of these satisfy the equation, but my actual pr

Question 295914: (25-2x)(10-2x)(x)-175<=0
How do I find the roots of this problem? The three answers for x that I come up with are (0,5,12.5). All of these satisfy the equation, but my actual problem is one of volume and zero is not a good height in my opinion.
Found 2 solutions by richwmiller, Theo:
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
(25-2x)(10-2x)(x)-175<=0
The inequality states that the left side is less and or equal to zero.
The inequality becomes 4x^3-70x^2+250x-175<=0
The actual exact roots are quite complicated.
Here are the approx 3.64439<=x<=12.9269 and x<=0.928661
From the above we can see that there are several integer solutions 4 through 12 that work
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
These are all solutions of the equation and possible solutions of the problem.

This does not mean that they are all actual solutions to the problem.

You would reject x <= 0 as not being a viable solution because the solution has to be a positive number.

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