Complex Numbers

Question 1

How to divide complex

Answer 1

Rationalise

Question 2

Remember that compels conjugate multiply by each other = real number

Question 3

When squarenrooting complex nhmebrs what will answers always be

Also what kind of numbers must a and b be

Answer 3

The + - of each other, so signs switch fir BITH NUNBERS

Also Must be REAL

Question 4

How to find complex conjugate of a number

Answer 4

Just make coeffeicmt if the i swap!

Question 5

When there are roots of polynomials, remember if you have a complex, how do you know other root?

Answer 5

Complex will always exist with its conjuagte

Question 6

When multiplying two roots to make a quadratic, how ti rewrite to make it difference if two sqaures ti easily muktioly

Answer 6

Well it ends up become z - number +- complex
So diff if two sqaures forms

(Z- numebr )2 - (complex) 2

Question 7

Drawing compelx on an arg and diagram

Answer 7

• if compelx conjugate reflect on x axis
• if adding or subtracting, treat it like vectros, add tor arrow , subtract them
• when subtracting go back wards direction

Arrow always goes form direction of irgin

Question 8

Rememebr what’s the age of 0?

Answer 8

UNDEFINED, SO PUT WHOLE CORCLE

Question 9

How to write in mod arg form

Answer 9

R (cos theta + isin theta)

Where r is mod and theta is arg

And to convert back just multiply r by cos theta etc

Question 10

Mut,illy dividing complex nhmbers mod and arg

Answer 10

Mut,illy , divide mod

Add subtrsvt arg

Question 11

Remmeber ti stay principle what toa dd subtrsvt

Answer 11

Multipel 2pi