Quadratic Equations with Complex Roots

Quadratic Equations with Complex Roots

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to use the quadratic formula to solve quadratic equations that result in complex roots. The instructor, Larry, demonstrates the process with two examples, highlighting the appearance of the imaginary unit 'i' when the discriminant is negative. The tutorial concludes with information about Larry's school, Ed Visions Off Campus, an online project-based school in Minnesota.

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15 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main focus of the video tutorial?

Solving linear equations

Solving quadratic equations with real roots

Solving quadratic equations with complex roots

Solving cubic equations

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which part of the quadratic formula is responsible for determining the nature of the roots?

The constant term

The discriminant

The denominator

The numerator

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the quadratic formula, what do the letters a, b, and c represent?

The solutions to the equation

The roots of the equation

The variables of the equation

The coefficients of the quadratic equation

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of the discriminant in the first example problem?

0

80

-16

64

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final solution for the first example problem?

-2 ± 4i

-4 ± 2i

2 ± 4i

4 ± 2i

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the second example, what is the value of b?

2

-2

1

10

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the discriminant value in the second example problem?

-40

-36

40

36

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