Online Tutors

Lesson: Complex Roots

Learn in this lesson that quadratic equations whose graph doesn't intersect the x-axis can be solved with complex numbers. Their complex roots always come in pairs, called conjugate pairs, with equal real parts but opposite imaginary parts.

Worksheet: Complex Roots • 23 Questions

Q1:

What is the conjugate of the complex number ?

Q2:

What is the conjugate of the complex number ?

Q3:

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

Ayes
Bno

Q4:

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

Aone repeated non-real root
Btwo real roots
Ctwo non-real roots
Done repeated real root

Q5:

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

Aone repeated non-real root
Btwo complex roots
Ctwo non-real roots
Done repeated real root

Preview