1003082305 | math4u.vsb.cz

SubArea:

Complex numbers in algebraic and polar form

Level:

Project ID:

1003082305

Source Problem:

Accepted:

1

Clonable:

0

Easy:

0

Let

[x; y] \in R \times R

,

z_{1} = 5 + x y i

and

z_{2} = x + y - 4 i

. Find all

[x; y]

such that

z_{1}

and

z_{2}

are the complex conjugates.

[x; y] \in {[4; 1], [1; 4]}

[x; y] \in {[6; 1], [9; 4]}

[x; y] \in {[4; 9], [1; 6]}

[x; y] \in {[- 4; 9], [- 1; 6]}

[x; y] \in {[6; - 1], [9; - 4]}