Question 1028556: A manufacturing company manufactures a cardboard box with a square base and a
height of 15 inches. Suppose the equation, the equation is
x^2+60x-7,200=0 can be used to find the
length and width of the base of the box, each measuring x inches.
Use the zero product property to solve the equation. Show all the steps needed
to find both answers.
c. Explain how the solution relates to this situation.
Can somebody guide me step by step, I can't seem to get it or get the right answer
Answer by rothauserc(4718)   (Show Source):
You can put this solution on YOUR website! what does ,200=0 mean?
:
I think the equation is
:
x^2 +60x -7200 = 0
:
we need to determine the prime factors of 7200
:
7200 = 2^5 * 3^2 * 5^2
:
using the prime factors, we want to construct two factors of 7200 that differ by 60
:
60 = 2^2 * 3 * 5
120 = 2^3 * 3 * 5
:
(x+120) * (x-60) = x^2 +60x -7200 = 0
:
(x+120) * (x-60) = 0
:
x is -120 or 60
:
measurements are positive, so we will use 60
:
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the length and width of the box are both 60 inches
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