To comply with the airline regulations, the sum of the length, width and depth of the luggage must not exceed 40 inches. Some models of luggage have a length of 10 inches greater than their depth. Assuming that the sum of the length, width and depth is 40 inches and its volume is estimated at 2016 cubic inches, what will be the dimensions of your new luggage? Solving this problem requires skills in solving polynomial equations. This implies that you’ll be solving for the roots of the equation. How do we solve for the roots?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

To comply with the airline regulations, the sum of the length, width and depth of the luggage must not exceed 40 inches. Some models of luggage have a length of 10 inches greater than their depth. Assuming that the sum of the length, width and depth is 40 inches and its volume is estimated at 2016 cubic inches, what will be the dimensions of your new luggage? Solving this problem requires skills in solving polynomial equations. This implies that you’ll be solving for the roots of the equation. How do we solve for the roots?

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