00:01
All right, so we're asked to find the roots, whether they be real or complex, of the quadratic equation here.
00:08
Z squared plus 8x plus 25 equals 0.
00:11
All right.
00:12
So, first thing we can do is identify our three terms, since this is in standard form.
00:18
A is 1.
00:20
B here is 8, which is next to the z term.
00:23
And then c, our constant with no variable is 25.
00:27
Okay.
00:28
Now we can go ahead and use the quadratic formula to figure.
00:32
Out how we can solve the roots here.
00:34
So the formula is negative b plus or minus the square root of b squared minus 4 a c all over 2a.
00:43
Very handy formula.
00:46
So plugging in as we see fit, negative b, so negative 8 plus or minus the square root of b squared.
00:54
So 8 squared is 64 minus 4 ac.
00:58
Well, 4 is 4.
00:59
A here is 1.
01:01
So 4 times 1 is 4.
01:02
C is 2...