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

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Last updated 2 months ago
9 questions

Simplifying Negative Square Roots

Required
10

Adding and Subtracting Complex Numbers

Required
10

Multiplying Complex Numbers

Required
20

Quadratic Equations with Complex Solutions

Required
20

Finding the discriminant


Required
10
Question 5a
5a.

Required
20
Required
12
Required
20

Using the Quadratic Formula to Solve Quadratic Equations with Complex Solutions

Quadratic Formula




Required
30
Question 1
1.
Simplify this radical. (Don't forget to split your answer into two parts.)

1st Solution
_______
2nd Solution
_______
Question 2
2.

Simplify this expression.


Final answers must be in a + bi form.

Question 3
3.

Simplify this expression.


Final answers must be in a + bi form.

Question 4
4.
Solve using the square roots method.

Solution 1_______
Solution 2 _______

Write the answer in simplest radical form. (no decimals)
Question 5b
5b.
Now that you converted the quadratic equation into standard form, what are the coefficients?


Find
a=_______
b=_______
c=_______

What is the discriminant?
b² - 4ac=_______
Question 5c
5c.
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=_______
Question 6
6.
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:
_______