00:04
To solve this problem, i'm going to first use an analogy.
00:09
Say like you want to define the absolute value of some number equals 2.
00:15
Well, it could be the absolute value of a positive 2 is 2, and the absolute value of negative 2 is 2.
00:22
So whatever is in the absolute value symbol could be positive or negative.
00:28
So that's going to lead us to split this problem into 2.
00:40
Once where what's in the absolute value symbols is positive and once where what was in the absolute value symbols is negative.
00:55
Okay, let's look at the positive side.
00:57
So that's positive of the parentheses.
01:01
That stays x squared minus 1 equals 5.
01:05
Add the one to both sides.
01:08
X squared equals 4 x equals plus or minus 2 and to solve the equation on the right i would divide both sides by a negative that's negative 1 and that would give you x squared minus 1 equals negative 5 and then adding one to both sides you get x squared equals negative 4 and then taking the square root of both sides you would get x equals plus or minus the square root of negative 4, which does not give you a real answer.
01:49
So we can give our answer as an imaginary number...