4.8 Imaginary Numbers (Due 2/28/2024) - James Parson | Library

Essential Question: How can we apply imaginary numbers to solve real-world problems and mathematical equations?

Learning Objective: Students will use imaginary numbers to solve quadratic equations.

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     1-20-26

Simplifying Negative Square Roots

Required

10

Simplify this radical. (Don't forget to split your answer into two parts.)

1st Solution
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2nd Solution
_______ 

Required

10

Simplify this radical. (Don't forget to split your answer into two parts.)

1st Solution
_______ 
2nd Solution
_______ 

Required

10

Simplify this radical. (Don't forget to split your answer into two parts.)

1st Solution
_______ 
2nd Solution
_______ 

Required

30

Simplify this radical. (Don't forget to split your answer into two parts.)

1st Solution
_______ 
2nd Solution
_______ 

(Upload your work from paper for credit.)

Required

10

Simplify this radical. (Don't forget to split your answer into two parts.)

1st Solution
_______ 
2nd Solution
_______ 

Required

10

Simplify this radical. (Don't forget to split your answer into two parts.)

1st Solution
_______ 
2nd Solution
_______ 

Quadratic Equations with Imaginary Solution

Required

60

Solve using the square roots method. Write the answer in simplest form.

Solution 1_______ 
Solution 2 _______ 

(Upload your work from paper for credit.)

Required

20

Solve using the square roots method. Write the answer in simplest form.

Solution 1_______ 
Solution 2 _______ 

Required

20

Solve using the square roots method. Write the answer in simplest form.

Solution 1_______ 
Solution 2 _______ 

Required

20

Solve using the square roots method. Write the answer in simplest form.

Solution 1_______ 
Solution 2 _______ 

Required

20

Solve using the square roots method. Write the answer in simplest form.

Solution 1_______ 
Solution 2 _______ 

Required

20

Solve using the square roots method. Write the answer in simplest form.

Solution 1_______ 
Solution 2 _______ 

Required

20

Solve using the square roots method. Write the answer in simplest form.

Solution 1_______ 
Solution 2 _______ 

Required

20

The equation for falling objects: h(t) = h₀ -16t² ,where h(t) is the height of the object, in feet, at any time t, in seconds, and h₀ is the object’s initial height in feet. 

A carpenter dropped a hammer from a rooftop 48 feet above ground.
How long did it take the hammer to hit the ground?_______ 

Solve using the square roots method. Write the answer in simplest form.

Learning Log

Required

5

Required

5

Required

10