00:01
Alright, i want to solve this for z.
00:05
So i have something times something equals to zero.
00:11
So, i forget what that's called.
00:15
The product of zero, the product identity.
00:19
Anyway, anything times zero is zero.
00:22
So, let me actually get rid of that first parenthesis there.
00:25
So the first factor, so any factor times zero would be equal to zero.
00:30
So you could set each, either factor equal to 0, square root of 3 to the 6th power, right parentheses, yes, could equal 0.
00:44
Or we could have, don't know if i have enough room, but we'll put it here, 0 squared the other factor, which is a quadratic, equal to 0.
01:00
Alright, so if i'm solving, so the first one's a cubic, the last one's a quadratic.
01:05
If i'm solving a quadratic, z squared instead of x squared, so a is 1, b is a negative i squared root of 3, and c is a negative i.
01:20
So to solve a quadratic i could do the quadratic formula.
01:25
So that would be the opposite of b plus or minus the square root of b squared minus 4ac all over 2a.
01:46
Alright so just a 2.
01:48
Okay so i've got i radical 3 plus or or minus the square root.
01:55
Okay, so i radical 3 squared.
01:59
A radical 3 squared is 3.
02:01
I squared is a negative 1, so that's a negative 3.
02:05
A negative times a negative is a positive.
02:07
4 times 1 is 4, so that's 4i.
02:11
All over 2...