U4D7 Discriminant and Quadratic Formula 3/19
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Last updated 7 months ago
20 questions
Warm-Up: Review
Express in simplest radical form.
1
Express in simplest radical form.
Express in simplest radical form.
1
Express in simplest radical form.
Express in simplest radical form.
1
Express in simplest radical form.
Express in simplest radical form.
1
Express in simplest radical form.
Express in simplest radical form.
1
Express in simplest radical form.
Express in simplest radical form.
1
Express in simplest radical form.
Write your answer as a + bi .
Express in simplest radical form.
Write your answer as a + bi .
1
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?
1
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?
1
After we get our equation equal to zero, identify a, b, and c. Then evaluate the discriminant.
a = _______
b = _______
c = _______
Discriminant = b2 - 4ac
Discriminant = _______
1
After we get our equation equal to zero, identify a, b, and c. Then evaluate the discriminant.
a = _______
b = _______
c = _______
Discriminant = b2 - 4ac
Discriminant = _______
1
Set the equation equal to zero to identify a, b, and c. Then evaluate the discriminant.
a = _______
b = _______
c = _______
Discriminant = b2 - 4ac
Discriminant = _______
The quadratic formula ALWAYS works. It will always find your solutions.
Example:
1
Use the quadratic formula to solve the quadratic equation.
x = _______
1
As you used the quadratic formula to solve:
Did you notice the discriminant (under the radical)?
What is the discriminant?
discriminant = _______
1
How many real solutions should we expect from 4x2 + x - 2 = 0 ?
How many real solutions should we expect from 4x2 + x - 2 = 0 ?
Whole Number Solutions
1
Use the quadratic formula to solve the quadratic equation.
discriminant = _______
So, the quadratic will have _______ solutions.
The solutions are:
x = _______
1
Use the quadratic formula to solve the quadratic equation.
discriminant = _______
So, the quadratic will have _______ solutions.
The solutions are:
x = _______
Complex Number Solutions
1
Use the quadratic formula to solve the quadratic equation.
discriminant = _______
So, the quadratic will have _______ solutions.
The solutions are:
x = _______
1
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
Use the quadratic formula to solve the quadratic equation.
discriminant = _______
So, the quadratic will have _______ solutions.
The solutions are:
x = _______
1
Use the quadratic formula to solve the quadratic equation.
discriminant = _______
So, the quadratic will have _______ solutions.
The solutions are:
x = _______