Complex Numbers

Question 1

Now if you have I as a solution what else do you have

Answer 1

They only exist as complex conjugated, so if I THEN -I too!

And polynomials order has same number solutions, that either complex or real

If 3 and one real, it can be either one real two complex, or 3 real that’s ti

Question 2

I2 =?

Answer 2

-1

Question 3

WHENEVER YOU MULTIPLY A COMPLEX BY ITS CONJUGATE WHAT DO YOU GET

Answer 3

REAL NUMBER

Question 4

Z = x + iy
What do the functions re (z) and im(z) do

Answer 4

Give x and y , real part and imaginary

Question 5

How are all numbers written as a complex

Answer 5

I is 0,

0.2 + 0i

Question 6

Adding subtracting complex

Answer 6

Same as like algebra

Question 7

Oh damn how to (divide) using complex what to do!

And what is complex multiply

Answer 7

RATIONALISE

Because I x I is -1

And then complex conjugate it will give you a real

Question 8

How to find quadratic from roots

Answer 8

Fscorrise to make x-5 sqaured and an i2
Using polynomial theory it’s - (sim) and + (product

Question 9

When square rooting snd equalling imaginary to real what will answer be

Answer 9

Always oppsitesof each other and in the form of complex too!

Question 10

Make sure simplify your fraction before rationalising, then equate for real and imaginary , don’t go straight for solving!

Question 11

For invariant lines etc keep inserting the equation if they gave and equate the coordinates later

Question 12

Make sure to equate and solve with basic quadratics, always wquate

Question 13

If it’s real or wholly imaginary what happens to other component what can you set it too

Answer 13

0 imaginary or real

Question 14

The conjugate of something on Armand diagram?

Answer 14

It’s reflection in REAL AXIS

Question 15

Only equate real to imaginary when there are TWO VARIABLEs, If one constant, factor it out first