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Solving using the quadratic formula with complex solutions

Solving using the quadratic formula with complex solutions

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Medium

Created by

Wayground Content

Used 4+ times

FREE Resource

The video tutorial explains solving a quadratic equation that cannot be factored by using the quadratic formula. It begins by identifying the coefficients and calculating the discriminant to determine the nature of the solutions. Since the discriminant is negative, the equation has complex solutions. The tutorial then simplifies the quadratic formula to find these solutions, emphasizing the use of imaginary numbers. The lesson concludes with a summary of the process.

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7 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main challenge in factoring the quadratic equation x^2 + 6x + 15 = 0?

The numbers do not multiply to 15.

The numbers do not add up to 6.

The equation is already in factored form.

The equation has no real solutions.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a quadratic equation cannot be factored, which method can be used to find its solutions?

Substitution

Graphing

Using the discriminant

Completing the square

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the coefficients a, b, and c in the quadratic equation x^2 + 6x + 15 = 0?

a = 15, b = 6, c = 1

a = 6, b = 1, c = 15

a = 1, b = 6, c = 15

a = 1, b = 15, c = 6

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does a negative discriminant indicate about the solutions of a quadratic equation?

There are two real solutions.

There is one real solution.

There are no real solutions, only complex solutions.

The equation is not quadratic.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of the discriminant for the equation x^2 + 6x + 15 = 0?

24

60

-24

36

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the expression sqrt(-24) simplified in terms of imaginary numbers?

4 sqrt(6)

2i sqrt(6)

4i sqrt(6)

2 sqrt(6)

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the final solutions for the quadratic equation x^2 + 6x + 15 = 0?

-3 ± 2 sqrt(6)i

-3 ± sqrt(6)i

-6 ± 2 sqrt(6)i

-6 ± sqrt(6)i

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