00:01
Okay, so we're going to start with the first, with rewrite the formula in vertex form.
00:06
So negative, negative 16 t squared plus 80t plus 69.
00:15
So i'm going to kick the 69 out, and i'm going to group these first two together, but then i'm going to factor out that 16.
00:22
So negative 16, parentheses, t squared minus 5t.
00:30
So now i'm going to complete the square here.
00:33
So that's going to be negative 16.
00:35
T minus 5 over 2 squared.
00:41
5 over 2 is 25 over 4.
00:46
So then i've got to distribute this over.
00:50
So negative 16 times 25 over 4.
00:54
That cancels to 4.
00:56
So that's going to be minus 100.
00:58
So that's going to be minus.
01:07
Oh, wait, that's a negative.
01:09
So that's going to be plus 100.
01:14
So plus 109.
01:18
Oh, wait.
01:22
169.
01:22
I forgot that 6.
01:24
So this should be 69 and not 109.
01:31
So 169.
01:32
All right...