00:01
So in this problem, we're told that z is equal to the complex number 3 minus 4i.
00:05
And we're being asked to find z times this symbol, which remember means the complement of z.
00:11
So remember, the complement of z in this case would be 3 plus 4i.
00:17
So now let's substitute these complex numbers into our problem.
00:21
Well, we have z, which is 3 minus 4i, times the conjugate, which is 3 plus 4i.
00:28
So now we just want to multiply these.
00:30
But remember, we're multiplying conjugates.
00:33
So all we need to do first is multiply our first terms, our real parts, rather...