Ashipping container is in the shape of a right rectangular prism with a length of 13.5 feet, a width of 10.5 feet, and a height of 2.5 feet. the container is completely filled with contents that weigh, on average, 0.33 pound per cubic foot. what is the weight of the contents in the container, to the nearest pound?

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0