I have a function h(t) = 30t - 5t^2.
I need to find the interval for which h is > 25.
The Attempt at a Solution
h(t) = 30t - 5t2 - 25 > 0
-5(t2 - 6t + 5) > 0
iff t2 - 6t + 5 > 0
Then the answer is t > 5 and t < 1.
But it is actually between those points.
Is it because I factored out a negative?