In this worksheet, we will practice solving quadratic equations whose roots are complex numbers.

**Q2: **

Which of the following best describes the roots of the equation ?

- A two non-real roots
- B one repeated real root
- C one repeated non-real root
- D two complex roots

**Q3: **

Factor over the complex numbers.

- A
- B
- C
- D
- E

**Q4: **

Solve the equation .

- A
- B
- C
- D
- E

**Q5: **

Given that is one of the roots of , determine the value of .

- A
- B
- C
- D

**Q6: **

Find the roots of the quadratic equation .

- A
- B
- C
- D
- E

**Q8: **

Find the solution set of .

- A
- B
- C
- D

**Q10: **

Find the solution set of over .

- A
- B
- C
- D

**Q11: **

Find the solution set of in the set of complex numbers.

- A
- B
- C
- D
- E

**Q13: **

If the discriminant of a quadratic equation with real coefficients is negative, will its roots be a complex conjugate pair?

- AYes
- BNo

**Q14: **

Which of the following best describes the roots of the equation ?

- A two non-real roots
- B one repeated real root
- C one repeated non-real root
- D two real roots

**Q15: **

Factor over the complex numbers.

- A
- B
- C
- D
- E

**Q16: **

Solve the equation .

- A
- B
- C
- D
- E

**Q17: **

Which quadratic equation has roots ?

- A
- B
- C
- D
- E