Complex Number

Real numbers – 0,0.3,1,2,-5, symbols (pi,e)

let us assume sqrt(i) = -1, this imaginary number
Imaginary numbers – i,-i, pi i, e i

Combine real and imaginary number = Complex number

z = 5 + 3i , you can’t add these 2 numbers, so this is called complex number

|Ima
|
3|                   z (it is called complex plane)
2|
a   1|
—————————- Re
-2 -1 |0 1 2 3 4 5
-1|
-2|
-3|                b (complex plan)
-4|

a = -2 +i
b= 4- 3i

classify the complex number

2+ 3i + 7i**2 + 5i**3 + 9i**4

let us assume i**2 = -1, i**3 => i**2*i => -i, i**4 => i**2 * i**2 => -1* -1 => 1

2+ 3i + 7i**2 + 5i**3 + 9i**4 => 2+ 3i -7 – 5i + 9 =>  4 – 2i

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