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U4D7 Discriminant and Quadratic Formula 3/19
By Ali Yasseri
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Last updated 9 months ago
20 questions
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1
1
Warm-Up: Review
Express in simplest radical form.
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Question 1
1.
Express in simplest radical form.
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1
1
1
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Question 7
7.
Before finding the discriminant, set the equation equal to 0. Keep the lead coefficient positive. Write the equation in standard form.
Which equation is equivalent to the given equation?
Question 8
8.
Before finding the discriminant, set the equation equal to 0. Keep the lead coefficient positive. Write the equation in standard form.
Which equation is equivalent to the given equation?
1
Question 9
9.
After we get our equation equal to zero, identify a, b, and c. Then evaluate the discriminant.
a = _______
b = _______
c = _______
Discriminant = b
2
- 4ac
Discriminant = _______
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1
The quadratic formula ALWAYS works. It will always find your solutions.
Example:
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Question 12
12.
Use the quadratic formula to solve the quadratic equation.
x = _______
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Question 13
13.
As you used the quadratic formula to solve:
Did you notice the discriminant (under the radical)?
What is the discriminant?
discriminant = _______
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Whole Number Solutions
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Question 15
15.
Use the quadratic formula to solve the quadratic equation.
discriminant = _______
So, the quadratic will have _______ solutions.
The solutions are:
x = _______
1
Question 16
16.
Use the quadratic formula to solve the quadratic equation.
discriminant = _______
So, the quadratic will have _______ solutions.
The solutions are:
x = _______
Complex Number Solutions
1
Question 17
17.
Use the quadratic formula to solve the quadratic equation.
discriminant = _______
So, the quadratic will have _______ solutions.
The solutions are:
x = _______
1
Question 18
18.
Use the quadratic formula to solve the quadratic equation.
discriminant = _______
So, the quadratic will have _______ solutions.
The solutions are:
x = _______
What if the radical cannot be simplified?
1
Question 19
19.
Use the quadratic formula to solve the quadratic equation.
discriminant = _______
So, the quadratic will have _______ solutions.
The solutions are:
x = _______
1
Question 20
20.
Use the quadratic formula to solve the quadratic equation.
discriminant = _______
So, the quadratic will have _______ solutions.
The solutions are:
x = _______
Question 2
2.
Express in simplest radical form.
Question 3
3.
Express in simplest radical form.
Question 4
4.
Express in simplest radical form.
Question 5
5.
Express in simplest radical form.
Question 6
6.
Express in simplest radical form.
Write your answer as
a + bi .
Question 10
10.
After we get our equation equal to zero, identify a, b, and c. Then evaluate the discriminant.
a = _______
b = _______
c = _______
Discriminant = b
2
- 4ac
Discriminant = _______
Question 11
11.
Set the equation equal to zero to identify a, b, and c. Then evaluate the discriminant.
a = _______
b = _______
c = _______
Discriminant = b
2
- 4ac
Discriminant = _______
Question 14
14.
How many real solutions should we expect from 4x
2
+ x - 2 = 0 ?
Discriminant = 0, 1 solution
Discriminant > 0, 2 solutions
Discriminant < 0, 0 solutions