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

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Last updated about 2 hours ago
30 questions

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.

Day 1 1/27/26

Finding the discriminant: Guided Practice


Required
10
Question 1a
1a.

Required
10
Required
10
Question 1c
1c.
Required
20
Required
10
Required
10
Question 2a
2a.
This quadratic equation is in standard form, what are the coefficients?


Find
a=_______
b=_______
c=_______

What is the discriminant?
b² - 4ac=_______
Required
10
Required
20
Required
10

Finding Discriminants

Required
10
Question 3a
3a.

Determine the discriminant of the following quadratic:

Required
10
Question 3b
3b.
Because the value of the discriminant was __________, that means the quadratic equation will have ____________________ solutions.
Required
10
Question 4a
4a.

Determine the discriminant of the following quadratic:


Required
10
Question 4b
4b.
Because the value of the discriminant was __________, that means the quadratic equation will have ____________________ solutions.
Required
10
Question 5a
5a.

Determine the discriminant of the following quadratic:


Required
10
Question 5b
5b.
Because the value of the discriminant was __________, that means the quadratic equation will have ____________________ solutions.
Required
10
Question 6a
6a.

Determine the discriminant of the following quadratic:


Required
10
Question 6b
6b.
Because the value of the discriminant was __________, that means the quadratic equation will have ____________________ solutions.
Required
10
Question 7a
7a.

Determine the discriminant of the following quadratic:

Required
10
Question 7b
7b.
Because the value of the discriminant was __________, that means the quadratic equation will have ____________________ solutions.
Required
10
Question 8a
8a.

Determine the discriminant of the following quadratic:


Required
10
Question 8b
8b.
Because the value of the discriminant was __________, that means the quadratic equation will have ____________________ solutions.
Required
10
Question 9a
9a.

Determine the discriminant of the following quadratic:


Required
3
Question 9b
9b.
Because the value of the discriminant was __________, that means the quadratic equation will have ____________________ solutions.
Required
20
Required
10
Question 10a
10a.

Determine the discriminant of the following quadratic:


Required
3
Question 10b
10b.
Because the value of the discriminant was __________, that means the quadratic equation will have ____________________ solutions.
Required
20

Learning Log

Required
5
Question 11
11.

Required
5
Question 12
12.

Required
10
Question 13
13.

Question 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=_______
Because the value of the discriminant was __________, that means the quadratic equation will have ____________________ solutions.
Question 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=_______
Question 1e
1e.

Question 2b
2b.
Because the value of the discriminant was __________, that means the quadratic equation will have ____________________ solutions.
Question 2c
2c.
Solve this Quadratic Equation using the quadratic formula:

Remember that you already converted this into Standard Form.

solution 1
x=_______
solution 2
x=_______
Question 2d
2d.

Question 9c
9c.
Solve this Quadratic Equation using the quadratic formula:

Remember that you already converted this into Standard Form

solution 1
x=_______
solution 2
x=_______
Question 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=_______