Question 1

A $z^2=-1$ egyenlet megoldása:

Accepted Answer

$z_1 = i$, $z_2=-i$

Answer

$z=i$

Answer

$z_1 = 1$, $z_2=-1$

Answer

$z=-i$

Question 2

A  $z^2=2i$ egyenlet megoldása:

Accepted Answer

$z_1=1+i$, $z_2=-1-i$

Answer

$z_1=\sqrt2i$, $z_2=-\sqrt 2i$

Answer

$z_1=-1+i$, $z_2=1-i$

Question 3

A $z^2 =6i$ egyenlet megoldása:

Accepted Answer

$z_1=\sqrt{3}+\sqrt 3 i$, $z_2=-\sqrt{3}-\sqrt 3 i$

Answer

$z_1=\sqrt{6}+\sqrt 6 i$, $z_2=-\sqrt{6}-\sqrt 6 i$

Answer

$z_1=\sqrt 6 i$, $z_2=-\sqrt 6 i$

Answer

$z_1=-\sqrt{3}+\sqrt 3 i$, $z_2=\sqrt{3}-\sqrt 3 i$

Question 4

A $z^2=35+12i$ egyenlet megoldása:

Accepted Answer

$z_1=6 +i$, $z_2=-6 -i$

Answer

$z_1=\sqrt{6}+\sqrt 6 i$, $z_2=-\sqrt{6}-\sqrt 6 i$

Answer

$z_1=6 +i$, $z_2=6 -i$

Answer

$z_1=-\sqrt{6}+\sqrt 6 i$, $z_2=\sqrt{6}-\sqrt 6 i$

Question 5

Mennyivel egyenlő $i+i^2+i^3+...+i^{2017}$?

Accepted Answer

$i$

Answer

1

Answer

$i-1$

Answer

0

Question 6

Mennyivel egyenlő  $Re(5+2i-3-4i)$?

Accepted Answer

2

Answer

$-2i$

Answer

8

Answer

-2

Question 7

Menyivel egyenlő  $|5-4i|$?

Accepted Answer

$\sqrt{41}$

Answer

$i$

Answer

3

Answer

$3i$

Question 8

Mi a megoldása a  $z-\overline z = 4i $ egyenletnek?

Accepted Answer

$z=a+2i$  bármely $a \in \mathbb{R}$

Answer

$z=5+2i$

Answer

$z=3-2i$

Answer

$z=2i$

Question 9

Mennyivel egyenlő $Im(\frac{6}{i-1})$?

Accepted Answer

$-3$

Answer

$\frac{6}{2}$

Answer

$3i$

Answer

$-3i+3$

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