A rectangular box has the dimensions shown in the diagram. The volume of the box is given by the function V(x) = x3 – 4x, where
x is the height in inches.
What is the height of the box if the volume is 15 in.3?
There is a rectangular box with length x+2 in. , width x-2 in. , and height x in.
height = in.
1 answer:
Answer:

Step-by-step explanation:
Given




Required
Find the height
The volume is calculated as thus:

This gives

Apply difference of two squares


Subtract 15 from both sides

Using a calculator to factorize, we have:

Split
or 
or 
x has complex roots for 
Hence:

Recall that:


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