SOLUTION: I submitted an equation not to long ago with no response so I tried the problem again and i only got this far. What are the dimensions of a box with NO top that is to be built i

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Question 242957: I submitted an equation not to long ago with no response so I tried the problem again and i only got this far.
What are the dimensions of a box with NO top that is to be built if the combined area of the sides and bottom are going to be 68ft^2 and the volume is 32ft^3.
My futile attempt:
This question is in a chapter about nonlinear systems so i set up two equations.
(for the volume)
(for the combined areas of the sides and bottom)
solved for y in first equation and substituted it into the second:
simplifying I got and that is where i got stuck. Any suggestion would be greatly appreciated.
Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
What are the dimensions of a box with NO top that is to be built if the combined area of the sides and bottom are going to be 68ft^2 and the volume is 32ft^3.
My futile attempt:
This question is in a chapter about nonlinear systems so i set up two equations.
(for the volume)
(for the combined areas of the sides and bottom)
solved for y in first equation and substituted it into the second:
simplifying I got and that is where i got stuck. Any suggestion would be greatly appreciated.
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2 is a zero of the cubic.
If yx^2 = 32, then y = 8
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You assume the bottom is square, it might not be.