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Worksheet: Solving Quadratic Equation with Complex Roots
Q1:
Solve the equation .
- A
- B
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- D
- E
Q2:
Factor over the complex numbers.
- A
- B
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- D
- E
Q3:
Which quadratic equation has roots ?
- A
- B
- C
- D
- E
Q4:
Solve the equation .
- A
- B
- C
- D
- E
Q5:
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
Q6:
Solve the quadratic equation .
- A
- B
- C
- D
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Q7:
Find the value of such that the quadratic equation has the roots .
Q8:
By completing the square, solve the equation .
- A
- B ,
- C ,
- D ,
- E ,
Q9:
If the discriminant of a quadratic equation is negative, will its complex roots be a conjugate pair?
- Ayes
- Bno
Q10:
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
Q11:
The complex numbers and , where , , , and are real numbers, are roots of a quadratic polynomial with real coefficients. Given that , what conditions, if any, must , , , and satisfy?
- A and
- B and
- Cthere are no additional conditions
- D and
Q12:
Factor over the complex numbers.
- A
- B
- C
- D
- E