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Laabri

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

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30 Nsɛmmisa

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

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1a.

Put this quadratic equation in Standard Form:

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1c.

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

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2d.

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

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3a.

Determine the discriminant of the following quadratic:

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3b.

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

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5a.

Determine the discriminant of the following quadratic:

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5b.

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

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7a.

Determine the discriminant of the following quadratic:

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7b.

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

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9a.

Determine the discriminant of the following quadratic:

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9b.

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

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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

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11.

Essential Question:

What was the Essential Question of this assignment?

(Use complete sentences for full credit)

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12.

Learning Outcomes

What is the discriminant used for?

(Use complete sentences for full credit)

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13.

1 Question I have.

1 question I have is...

(Must be a question)

OR

What was the hardest part of the assignment?

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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=

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1d.

Solve this Quadratic Equation using the quadratic formula:

Remember that you already converted this into Standard Form

solution 1

x=

solution 2

x=

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1e.

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

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2c.

Solve this Quadratic Equation using the quadratic formula:

Remember that you already converted this into Standard Form.

solution 1

x=

solution 2

x=