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U4D7 Discriminant and Quadratic Formula 3/19
By Ali Yasseri
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Last updated 12 months ago
20 questions
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Question 7
7.
Question 8
8.
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The quadratic formula ALWAYS works. It will always find your solutions.
Example:
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Whole Number Solutions
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Complex Number Solutions
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What if the radical cannot be simplified?
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Warm-Up: Review
Express in simplest radical form.
Question 1
1.
Express in simplest radical form.
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 .
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?
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 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 = _______
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 12
12.
Use the quadratic formula to solve the quadratic equation.
x = _______
Question 13
13.
As you used the quadratic formula to solve:
Did you notice the discriminant (under the radical)?
What is the discriminant?
discriminant = _______
Question 14
14.
Question 15
15.
Use the quadratic formula to solve the quadratic equation.
discriminant = _______
So, the quadratic will have _______ solutions.
The solutions are:
x = _______
Question 16
16.
Use the quadratic formula to solve the quadratic equation.
discriminant = _______
So, the quadratic will have _______ solutions.
The solutions are:
x = _______
Question 17
17.
Use the quadratic formula to solve the quadratic equation.
discriminant = _______
So, the quadratic will have _______ solutions.
The solutions are:
x = _______
Question 18
18.
Use the quadratic formula to solve the quadratic equation.
discriminant = _______
So, the quadratic will have _______ solutions.
The solutions are:
x = _______
Question 19
19.
Use the quadratic formula to solve the quadratic equation.
discriminant = _______
So, the quadratic will have _______ solutions.
The solutions are:
x = _______
Question 20
20.
Use the quadratic formula to solve the quadratic equation.
discriminant = _______
So, the quadratic will have _______ solutions.
The solutions are:
x = _______
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