Solve the problem. Check answers to be sure they are reasonable. A​ 10-gal aquarium is 4 in. higher than it is wide. Its length is 17 ​in., and its volume is 4284 in.^3. What are the height and width of the​ aquarium?

-- Width

--- Height

Step-by-step explanation:

Given

-- Volume

-- Length

-- Height

-- Width

Required:

Find the height and the width

Volume is calculated as:

This gives:

Open bracket

Divide through by 17

Write as a quadratic expression

Expand

Factorize:

Factor out H + 18

or

or

But Height can not be negative. So:

Recall that:

v≈1140.4 would be your answer