Okay so here is the original equation:
A rocket is launched into the air from the top of a building. It's height (in meters) is given by:
h(t)= -5tē + 30t + 100, where t = time in seconds.
When does the rocket smash into the ground?
So, this is where I set the equation equal to zero.
0 = -5tē + 30t + 100
and since it couldn't be factored, I decided I needed to use the quadratic formula.
However, am I able to factor out the -5?
Then I got:
So, when I plugged the items in the parenthesis into the quadratic formula, I eventually got: (3 +/- √29)
Now, what I'm wondering is:
First of all, did I do everything correctly?
If so, what do I then do with the -5 I factored out in the beginning?
Any help would be appreciated, thank you for your time!