Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

Homework Help

Lesson: Complex Roots

In this lesson, we will learn how to solve quadratic equations whose roots are complex numbers.

Worksheet • 12 Questions

Q1:

Solve the equation 5 π‘₯ + 1 = βˆ’ 3 1 9 2 .

  • A π‘₯ = 8 𝑖 , π‘₯ = βˆ’ 8 𝑖
  • B π‘₯ = 8 5 𝑖 , π‘₯ = βˆ’ 8 5 𝑖
  • C π‘₯ = 8 , π‘₯ = βˆ’ 8
  • D π‘₯ = 8 √ 5 5 𝑖 , π‘₯ = βˆ’ 8 √ 5 5 𝑖
  • E π‘₯ = 8 √ 5 𝑖 , π‘₯ = βˆ’ 8 √ 5 𝑖

Q2:

Factor π‘₯ + 9 2 over the complex numbers.

  • A ( π‘₯ + 3 𝑖 ) ( π‘₯ βˆ’ 3 𝑖 )
  • B ( π‘₯ + 3 ) ( π‘₯ + 3 )
  • C ( π‘₯ + 3 ) ( π‘₯ βˆ’ 3 )
  • D ( π‘₯ βˆ’ 3 𝑖 ) ( π‘₯ βˆ’ 3 𝑖 )
  • E ( π‘₯ + 3 𝑖 ) ( π‘₯ + 3 𝑖 )

Q3:

Which quadratic equation has roots π‘₯ = Β± 3 𝑖 ?

  • A π‘₯ = βˆ’ 9 2
  • B π‘₯ = βˆ’ 6 2
  • C π‘₯ = 9 2
  • D π‘₯ = 3 2
  • E π‘₯ = βˆ’ 3 2
Preview

Related Lessons

Related Videos

Related Worksheets