Is i equal to 1?
This is a part of a series on List of Common Misconceptions.
Is ?
Why?
We know that But we also have
So, doesn't that mean
Why people say its false? Because it's just
The statement "=" is .
Proof:
The roots of here can easily be seen to be 4. Here the working is solely based on false roots.
Now, we will prove that by contradiction.
Let us assume Then by squaring both sides, we get
which is not possible. So cannot take the value of
Therefore, our assumption that is wrong and hence
See Also