Ch1 Complex Numbers

Question 1

i^4n+1 / i

Answer 1

square root -1

Question 2

i^4n+2 / i^2

Answer 2

-1

Question 3

i^4n+3 / i^3

Answer 3

-i

Question 4

i^4n / i ^4

Answer 4

1

Question 5

complete conjugate

Answer 5

z=a+bi z=a-bi

Question 6

z+z*
(complex number) + (complex conjugate)

Answer 6

2a

Question 7

zz*
(complex number)(complex conjugate)

Answer 7

a^2+b^2

Question 8

how can we derive a quadratic from a a+bi root

Answer 8

z^2 - (2a)z + (a^2+b^2) = 0