00:01
Given x squared plus one -fifth x minus 6 over 25, we can't factor this, but what we can do is use the quadratic formula, set it equal to 0, and solve for x.
00:12
So i'm going to set this whole thing equal to 0.
00:15
I'm going to go ahead and label my a -b -c.
00:18
My a value is 1.
00:21
And the quadratic formula says x equals negative b plus or minus the square root of b squared minus 4 times a times c.
00:33
C.
00:36
All of that divided by two times a.
00:41
So i get negative one -fifth plus or minus the square root of 1 over 25, minus 4 times 1 times negative 6 over 25.
00:51
I have a double negative here, so it is going to be positive, so i'm going to be adding.
00:56
And we can add or multiply straight across, 4 times 1 times 6, 24, and on the bottom i've got that 25.
01:05
All of that over 2...