In this worksheet, we will practice solving quadratic equations with complex coefficients using the quadratic formula.

**Q1: **

Find the solution set of the equation in .

- A
- B
- C
- D
- E

**Q2: **

Given that , where and are real numbers, find all the possible values of and .

- A ,
- B , or ,
- C ,
- D , or ,

**Q3: **

Given that is one of the roots of the equation , find the other root and the value of .

- A ,
- B ,
- C ,
- D ,
- E ,

**Q4: **

Find the solution set of in terms of , where is a complex cube root of unity.

- A
- B
- C
- D

**Q5: **

Find the solution set of in , where is a complex cube root of unity.

- A
- B
- C
- D

**Q6: **

Determine all the real values of and that satisfy the equation .

- A or
- B or
- C or
- D or

**Q7: **

Find the solution set of the equation in .

- A
- B
- C
- D
- E

**Q8: **

Find all possible values of , where , for which .

- A ,
- B6, 2
- C6, 2, ,
- D6, 2, ,
- E ,

**Q9: **

Given that , find all possible real values of and .

- A
- B
- C
- D
- E

**Q11: **

Find the solution set of the equation in .

- A
- B
- C
- D
- E

**Q12: **

Find the solution set of the equation in .

- A
- B
- C
- D
- E

**Q13: **

Find the solution set of the equation in .

- A
- B
- C
- D
- E

**Q14: **

Find the solution set of the equation in .

- A
- B
- C
- D
- E

**Q15: **

Find the solution set of the equation in .

- A
- B
- C
- D
- E

**Q16: **

Find the solution set of the equation in .

- A
- B
- C
- D
- E