# Lesson Worksheet: Solving Quadratic Equations with Complex Roots Mathematics

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

**Q4: **

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

- A
- B
- C
- D

**Q7: **

Find the solution set of .

- A
- B
- C
- D

**Q11: **

Solve the equation .

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

**Q13: **

Solve the quadratic equation .

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- B
- C
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- E

**Q16: **

Find the value of such that the quadratic equation has the roots .

**Q18: **

The product of the roots of the equation is 4. Find the value of and the solution set of the equation.

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

**Q19: **

Factor over the complex numbers.

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- B
- C
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- E

**Q20: **

Given that has a zero at and , determine the values of , , and where they are real numbers.

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

**Q21: **

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

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

**Q22: **

The sum of the roots of the equation is 1. Find the value of and the solution set of the equation.

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

**Q23: **

Solve , where .

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- B
- C
- D
- E

**Q25: **

Find, in its simplest form, the quadratic equation whose roots are and .

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