SOLUTION: Volume of a Trough Water is running into a trapezoidal trough. The volume V, in cubic feet, of water in the trough is given by V= 32d2+32d, where d is the depth, in feet, of the

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Question 1043132: Volume of a Trough Water is running into a trapezoidal
trough. The volume V, in cubic feet, of water in the trough
is given by V= 32d2+32d, where d is the depth, in feet, of
the water in the trough. Find the depth of the water when
the volume is 850 cubic feet. Round to the nearest tenth of
a foot
Answer by ikleyn(52903) About Me  (Show Source):
You can put this solution on YOUR website!
.
As I understand your post, you want to find the value of d from the quadratic equation

32d%5E2%2B32d = 850.

Write it in the standard form

32d%5E2%2B32d+-+850 = 0.

Apply the quadratic formula.

If you don't know what is the quadratic formula, or if you are not sure, then consult the lessons

    - Introduction into Quadratic Equations

    - PROOF of quadratic formula by completing the square

in this site.