Question 929381: The Volume V of a container is modeled by the function V(x)=x^3-3x^2-4x. Let x,x+1,and x-4 represent the width, the length, and the height respectively. The container has a volume of 70 ft^3. Find the container's dimensions.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The Volume V of a container is modeled by the function V(x)=x^3-3x^2-4x. Let x,x+1,and x-4 represent the width, the length, and the height respectively. The container has a volume of 70 ft^3. Find the container's dimensions.
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Solve: x^3-3x^2-4x-70 = 0
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I graphed the cubic equation and found a zero at x = 5.78..
x = 5.78
x + 1 = 6.78
x-4 = 1.78
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Cheers,
Stan H.
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