How do you set up the discriminant for the equation $$3x^2 - 19x = -20$$ ?

The correct setup of the discriminant is $$(-19)^2 - 4(3)(20)$$ .

What is the solution to the equation $$2x^2 + 2x - 12 = 0$$ using the quadratic formula?

The solutions are $$x = 2, -3$$ .

What is the value of the discriminant for the equation $$x^2 + 4x + 4 = 0$$ ?

The discriminant is 0, indicating there is one real solution.

What is the significance of a discriminant of zero?

A discriminant of zero indicates that the quadratic equation has exactly one real solution, also known as a repeated or double root.

How do you calculate the discriminant for the equation $$ax^2 + bx + c = 0$$ ?

The discriminant is calculated using the formula $$D = b^2 - 4ac$$ .

What is the vertex form of a quadratic equation?

The vertex form of a quadratic equation is $$y = a(x - h)^2 + k$$ , where (h, k) is the vertex of the parabola.

What is the axis of symmetry for a quadratic equation?

The axis of symmetry for the quadratic equation $$ax^2 + bx + c = 0$$ is given by the formula $$x = -\frac{b}{2a}$$ .

How can you determine the number of real solutions without solving the equation?

You can determine the number of real solutions by evaluating the discriminant: if D > 0, two real solutions; D = 0, one real solution; D

Quadratic Formula and Discriminant Review Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is the quadratic formula?

Back

Tags

CCSS.HSA-REI.B.4B

2.

FLASHCARD QUESTION

Front

What does the discriminant tell us about a quadratic equation?

Back

Tags

CCSS.HSA-REI.B.4B

3.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

4.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

5.

FLASHCARD QUESTION

Front

What happens if the discriminant is positive?

Back

If the discriminant is positive, there will be two distinct real solutions to the quadratic equation.

Tags

CCSS.HSA-REI.B.4B

6.

FLASHCARD QUESTION

Front

What happens if the discriminant is negative?

Back

If the discriminant is negative, there will be two imaginary solutions to the quadratic equation.

Tags

CCSS.HSA-REI.B.4B

7.

FLASHCARD QUESTION

Front

Back

The discriminant is 76, which indicates there are two real solutions.

Tags

CCSS.HSA-REI.B.4B

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