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Mathematics
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OpenStudy (anonymous):
The length of a box is 5 more than the width and the height is 2 less than the width. If the volume is equal to 150 cubic feet, what are the measurements for each side.
11 years ago
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OpenStudy (anonymous):
@dtan5457 @mathrulezz @aum @Abmon98 @pooja195 @welshfella @ineptAtMath
11 years ago
OpenStudy (welshfella):
let the width be x , then height = x -2 and the length = x + 5
vilume = w*h*l so
x(x-2)(x + 5) = 150
you need to solve this for x
11 years ago
OpenStudy (anonymous):
I dont think i did it right i ot x^3+3x^2-10x=150
11 years ago
OpenStudy (welshfella):
x^3 + 3x^2 - 10x - 150 = 0
11 years ago
OpenStudy (welshfella):
these are not straight forward to solve but as the last term is 150 and 5 is a factor try plugging x = 5 into the equation and see if you get 0
11 years ago
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OpenStudy (welshfella):
125 =75 - 50 - 100 = 0!!!!
11 years ago
OpenStudy (anonymous):
yea that works
11 years ago
OpenStudy (welshfella):
* 125 + 75
11 years ago
OpenStudy (welshfella):
got it1
so width = 5 and you can work out the rest easily
11 years ago
OpenStudy (anonymous):
so the length is 10 right?
11 years ago
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OpenStudy (welshfella):
yes
11 years ago
OpenStudy (anonymous):
great thanks
11 years ago
OpenStudy (welshfella):
yw
11 years ago
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