Twa kɔ nsɛm atitiriw so
Log in
Sign up for FREE
arrow_back
Laabri

4.4 Using the Quadratic Formula to Find Complex Solutions (Due 1-27-26)

star
star
star
star
star
Last updated 3 months ago
22 Nsɛmmisa

Day 1 1/26/26

Using the Quadratic Formula: Guided Practice

Quadratic Formula to solve Quadratic Equations

Ɛhia
30

Solving Quadratic Equations with the Quadratic Formula

Ɛhia
30
Ɛhia
30
Ɛhia
30
Ɛhia
20
Ɛhia
20
20
Ɛhia
20
Ɛhia
20
Ɛhia
20
Ɛhia
20
Ɛhia
60
Ɛhia
40

Essential Question: What is the quadratic formula, and how can you use it to solve quadratic equations with real or complex solutions?

Learning Target: Students will be able to apply the Quadratic Formula to solve quadratic equations modeled after real-world situations

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.


Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Solve this Quadratic Equation using the quadratic formula:

a=

b=

c=

solution 1

x=

solution 2

x=

Ɛhia
10
Asemmisa {{asɛmmisaAhyɛnsode}}
2a.

Put this quadratic equation in Standard Form:

Ɛhia
30
Asemmisa {{asɛmmisaAhyɛnsode}}
2b.

Solve this Quadratic Equation using the quadratic formula:

Remember that you already converted this into Standard Form

solution 1

x=

solution 2

x=

Ɛhia
10
Asemmisa {{asɛmmisaAhyɛnsode}}
2c.

Why do you put a quadratic equation into standard form first?

Ɛhia
10
Asemmisa {{asɛmmisaAhyɛnsode}}
3a.

Put this quadratic equation in Standard Form:

Ɛhia
30
Asemmisa {{asɛmmisaAhyɛnsode}}
3b.

Solve this Quadratic Equation using the quadratic formula:

Remember that you already converted this into Standard Form

solution 1

x=

solution 2

x=

Ɛhia
10
Asemmisa {{asɛmmisaAhyɛnsode}}
3c.

What happens when the number under the radical is negative?

Asemmisa {{asɛmmisaAhyɛnsode}}
4.

Solve this Quadratic Equation using the quadratic formula:

Put this equation in Standard Form:

a=

b=

c=

solution 1

x=

solution 2

x=

Asemmisa {{asɛmmisaAhyɛnsode}}
5.

Solve this Quadratic Equation using the quadratic formula:

a=

b=

c=

solution 1

x=

solution 2

x=

Asemmisa {{asɛmmisaAhyɛnsode}}
6.

Solve this Quadratic Equation using the quadratic formula:

a=

b=

c=

solution 1

x=

solution 2

x=

Asemmisa {{asɛmmisaAhyɛnsode}}
7.

Solve this Quadratic Equation using the quadratic formula:

Put the equation in Standard Form:

solution 1

x=

solution 2

x=

Asemmisa {{asɛmmisaAhyɛnsode}}
8.

Solve this Quadratic Equation using the quadratic formula:

solution 1

x=

solution 2

x=

Asemmisa {{asɛmmisaAhyɛnsode}}
9.

Solve this Quadratic Equation using the quadratic formula:

solution 1

x=

solution 2

x=

Asemmisa {{asɛmmisaAhyɛnsode}}
10.

Solve this Quadratic Equation using the quadratic formula:

solution 1

x=

solution 2

x=

Asemmisa {{asɛmmisaAhyɛnsode}}
11.

Solve this Quadratic Equation using the quadratic formula:

Put the equation in Standard Form:

solution 2

x=

solution 2

x=

Asemmisa {{asɛmmisaAhyɛnsode}}
12.

Solve this Quadratic Equation using the quadratic formula:

solution 1

x=

solution 2

x=

Asemmisa {{asɛmmisaAhyɛnsode}}
13.

Solve this Quadratic Equation using the quadratic formula:

Put the equation in Standard Form:

solution 1

x=

solution 2

x=

Asemmisa {{asɛmmisaAhyɛnsode}}
14.

Use the quadratic formula to solve this real-world example:

The dimensions of a square are altered so that one dimension is increased by 5 feet, while the other is decreased by 3 feet. The area of the resulting rectangle is 84 ft2 .

What is the standard form of the equation that represents area of the rectangle inside the larger square?

What is the length of the sides of the square?

What was the perimeter of the original square?

Asemmisa {{asɛmmisaAhyɛnsode}}
15.

Use the quadratic formula to solve this real-world example:

How long will the ball stay in air until it hits the ground?

seconds

Learning Log

Ɛhia
5
Asemmisa {{asɛmmisaAhyɛnsode}}
16.

Essential Question:

What was the Essential Question of this assignment?

(Use complete sentences for full credit)

Ɛhia
5
Asemmisa {{asɛmmisaAhyɛnsode}}
17.

Learning Outcomes

Is there a way to know if your solutions to quardratic equations will be real or imaginary?

(Use complete sentences for full credit)

Ɛhia
10
Asemmisa {{asɛmmisaAhyɛnsode}}
18.

1 Question I have.

1 question I have is...

(Must be a question)

OR

What was the hardest part of the assignment?