Posted by Emily on Thursday, September 17, 2009 at 12:55am.
"An aquarium with length x, width x10, and height x5 holds about 750 cubic feet of water. Find all real solutions of the equation (I wrote it) 750 = x(x10)(x5)."
I got the volume equation correct, right? I've tried dividing the factors of 750 by the factors of 1 (with this one theorem thingy), but I can't seem to get any real solutions. Does anyone know how to do this?

Precalculus  drwls, Thursday, September 17, 2009 at 1:11am
Your formula is correct. One root is x = 15. That is the only real solution. The other solutions are +/ sqrt(50)
I got the 15 by guessing. The equation
x^3 15x^2 +50x  750 = 0 can be factored to give
(x15)(x^2 + 50) = 0

Precalculus  Emily, Thursday, September 17, 2009 at 1:18am
Ohhh I see. Thanks so much!! :D
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