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Biblioteka

4.5 Finding Discriminants to Determine if Quadratics are Real or Complex (Due 1/28/26)

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Posljednje ažuriranje 5 months ago
30

Day 1 1/27/26

Finding Discriminants

Essential Question: How can you use the discriminant detemine what the solutions to quadratic equations?

Learning Target: Students will be able to calculate the discriminant and use it to predict if a quadratic equation has two real solutions, one real solution, or two complex solutions.

Complete the entire document and use full sentences when prompted for full credit.

Responses without work will receive no points.

Remember to upload work from paper when prompted to receive credit.

Finding the discriminant: Guided Practice

Obavezno
10
Pitanje 1a
1a.

Put this quadratic equation in Standard Form:

Obavezno
10
Obavezno
10
Pitanje 1c
1c.

Because the value of the discriminant was , that means the quadratic equation will have solutions.

Obavezno
20
Pitanje 2c
2c.
Obavezno
10
Obavezno
10
Pitanje 3a
3a.

Determine the discriminant of the following quadratic:

Obavezno
10
Pitanje 3b
3b.

Because the value of the discriminant was , that means the quadratic equation will have solutions.

Obavezno
10
Pitanje 5a
5a.

Determine the discriminant of the following quadratic:

Obavezno
10
Pitanje 5b
5b.

Because the value of the discriminant was , that means the quadratic equation will have solutions.

Obavezno
10
Pitanje 7a
7a.

Determine the discriminant of the following quadratic:

Obavezno
10
Pitanje 7b
7b.

Because the value of the discriminant was , that means the quadratic equation will have solutions.

Obavezno
10
Pitanje 9a
9a.

Determine the discriminant of the following quadratic:

Obavezno
3
Pitanje 9b
9b.

Because the value of the discriminant was , that means the quadratic equation will have solutions.

Obavezno
20
Pitanje 10c
10c.

Solve this Quadratic Equation using the quadratic formula:

Remember that you already converted this into Standard Form

solution 1

x=

solution 2

x=

Learning Log

Obavezno
5
Pitanje 11
11.

Essential Question:

What was the Essential Question of this assignment?

(Use complete sentences for full credit)

Obavezno
5
Pitanje 12
12.

Learning Outcomes

What is the discriminant used for?

(Use complete sentences for full credit)

Obavezno
10
Pitanje 13
13.

1 Question I have.

1 question I have is...

(Must be a question)

OR

What was the hardest part of the assignment?

Pitanje 1b
1b.

Now that you converted the quadratic equation into standard form, what are the coefficients?

Find

a=

b=

c=

What is the discriminant?

b² - 4ac=

Pitanje 1d
1d.

Solve this Quadratic Equation using the quadratic formula:

Remember that you already converted this into Standard Form

solution 1

x=

solution 2

x=

Pitanje 1e
1e.

What did the discriminant tell you before you solved the quadratic equation?

Solve this Quadratic Equation using the quadratic formula:

Remember that you already converted this into Standard Form.

solution 1

x=

solution 2

x=

Pitanje 2d
2d.

What did the discriminant tell you before you solved the quadratic equation?