For what values of x is x3−10x2>−25x?
x^3 - 10x^2 > -25x
x^3 -10x^2 + 25x > 0
x^2 - 10x + 25 > 0
(x - 5)^2 > 0
The solution is all x except 5. In interval notation, the soution is (-inf,5) U (5,inf).
