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BAM!!! Mr. Tarrou. How are you doing today? I am going to be talking about imaginary numbers.
Like they hardly even exist but yet we still need them in mathematics. Now imaginary numbers
really in a textbook are called Complex Numbers. They have two parts, they have a real part
and an imaginary part...or a plus b times i. Now what do I mean by imaginary. What does
that even mean, or come up in math? Maybe if you have started solving parabolas, or
doing the quadratic formula, you might have noticed that sometimes you don't get an answer.
You try and do the square root and you end up with a negative number inside your radical.
That is one example where imaginary numbers come in to play. The square root of negative
1 is equal to "i" Now there are some things in math that we teach as a rule that I can
do a pretty good job of teaching my students like why that works or how. This is one is
a little bit tough for that, so we are just going to let this letter "i" stand for the
square root of negative one. i for imaginary! Why is it imaginary? Because if you square
root negative one, or you try to come up with a square root, there are not two numbers that
you multiply by themselves to get you negative one. The square root of 4 is 2. Why? Because
2 times 2 is 4. But what two real numbers can you multiply together to get negative
one, they don't exist. Negative one times negative one is positive one. Maybe it is
the square root of negative one is positive one. Well one times one is still positive
one. You cannot take an even root of a negative number. So we must give it this imaginary
value if i. Well one fact that we are going to use quite a bit today is about i squared.
Now i squared. i squared is just as it says, i times i or the square root of negative one
/ˌkalkyəˈlāSH(ə)n/
mathematical determination. An educated guess about something.
/ˈneɡədiv/
characterized by absence of distinguishing features. no. Reply to a question or statement that means 'no'. refuse to accept.
/təˈɡeT͟Hər/
self-confident, level-headed, or well organized. In the same place; not far in a family or group.
/ˈteks(t)ˌbo͝ok/
conforming or corresponding to established standard or type. book used as standard work for study of particular subject.