Possible values of x

label Calculus
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An open box is made from a square piece of cardboard 30 inches wide by removing a square of side x from each corner and turning up the sides. Find the possible values of x if the box is to have a volume of 2000 cubic inches.

Oct 20th, 2017

If you draw a graph, you can conclude the following equation:

(30-2x)(30-2x)x=2000

(900-120x+4x^2)x=2000

4x^3-120x^2+900x-2000=0

x=5 or 20



Apr 2nd, 2015

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