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Master Copy Unit 4 Solving Real and Complex Quadratic Equations (2/10/2026)

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Last updated about 2 hours ago
10 questions

Simplifying Negative Square Roots

Required
10
Question 1
1.
Simplify this radical. (Don't forget to split your answer into two parts.)

1st Solution
_______
2nd Solution
_______

Adding and Subtracting Complex Numbers

Required
10
Question 2
2.

Simplify this expression.


Final answers must be in a + bi form.

Multiplying Complex Numbers

Required
20
Question 3
3.

Simplify this expression.


Final answers must be in a + bi form.

Quadratic Equations with Complex Solutions

Required
20
Question 4
4.
Solve using the square roots method.

Solution 1_______
Solution 2 _______

Write the answer in simplest radical form. (no decimals)

Finding the discriminant


Required
10
Question 5a
5a.

Required
20
Question 5b
5b.
Required
12
Question 5c
5c.
Required
20

Using the Quadratic Formula to Solve Quadratic Equations with Complex Solutions

Quadratic Formula




Required
30
Question 6
6.

Word Problems

Involving Quadratic Equations

Required
60
Question 7
7.
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 5d
5d.
Solve this Quadratic Equation using the quadratic formula:


Remember that you already converted this into Standard Form

solution 1
x=_______
solution 2
x=_______
Solve this quadratic equation. You may use any method covered in this unit.





1) Convert this quadratic equation to standard form:
_______

2) Use the cofficients to find:
a=_______
b=_______
c=_______

3Find the solution(s)
(If the equation only has one answer, then enter it in both boxes.)


Solution 1:
_______

Solution 2:
_______
Given the diagram below, if the area of the shaded region is 290 ft² , what are the dimensions of the inside rectangle?



Write an expression that represents the area of the unshaded area.
_______
Write an expression that represents the area of the larger rectangle.
_______

Write an equation for the area of the shaded region.
_______

What is the value of x?
_______

If the width of the inside rectangle is
(x-2) and the length of te hinside rectangle is 2x

What is the width:_______ ft
What is the length:_______ ft