Imaginary number is defined as follows

i×i=- 1

Attention! The product of four I's is-1×- 1, so it is 1.

Don't make mistakes.

So it can be understood as every four I times a period.

The fourth power of I is 1.

The power of 20 1 1 of I is 2008 i×3 I. We know that 2008 is actually a multiplication of many, many four I's, and the result is definitely 1. The multiplication of three I's is that i*i=- 1 first, and then-1* I =-i. So I'm multiplied by 201.

The power of 20 12 of I is the same as the power of 2008, and both are 1.

I is actually the square root of-1, which is invented when people encounter no solution to the equation when operating in the real number range and want to express the result.

x？ -2x+2=0

x？ -2x+ 1=- 1

(x- 1)？ =- 1

Ok, now root-1, which is me.

That is, x- 1=i or x- 1=-i (you also know that there are two answers to square root, one is positive and the other is negative).

So x=i+ 1 or x =1-i.

Do you understand?

Seriously, word for word.