Solve using the quadratic formula: $$2x^2 + 2x - 12 = 0$$

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

Solve using the quadratic formula: $$x^2 + 4x + 3 = 0$$

The solutions are $$x = -1, -3$$ .

Solve using the quadratic formula: $$x^2 - 6x + 4 = 0$$

The solutions are $$x = 3 \pm \sqrt{5}$$ .

Solve using the quadratic formula: $$9x^2 - 7x - 4 = 0$$

The solutions are $$x = \frac{7 \pm \sqrt{169}}{18}$$ .

Solve using the quadratic formula: $$2m^2 + 2m - 12 = 0$$

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

What is a quadratic equation?

A quadratic equation is a polynomial equation of degree 2, typically in the form $$ax^2 + bx + c = 0$$ , where $$a, b,$$ and $$c$$ are constants and $$a \neq 0$$ .

What is the vertex of a parabola represented by a quadratic equation?

The vertex of a parabola represented by the quadratic equation $$y = ax^2 + bx + c$$ can be found using the formula $$x = -\frac{b}{2a}$$ .

What is the axis of symmetry in a quadratic function?

The axis of symmetry of a quadratic function $$y = ax^2 + bx + c$$ is the vertical line given by $$x = -\frac{b}{2a}$$ .

What is the standard form of a quadratic equation?

The standard form of a quadratic equation is $$ax^2 + bx + c = 0$$ , where $$a, b, c$$ are constants and $$a \neq 0$$ .

How can you determine if a quadratic equation has real solutions?

You can determine if a quadratic equation has real solutions by evaluating the discriminant $$D = b^2 - 4ac$$ . If D >= 0, the equation has real solutions.

Quadratic Formula Flashcards

Student preview

14 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the Quadratic Formula?

Back

Tags

CCSS.HSA-REI.B.4B

2.

FLASHCARD QUESTION

Front

What does the discriminant of a quadratic equation indicate?

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

Back

Tags

CCSS.HSA-REI.B.4B

6.

FLASHCARD QUESTION

Front

How do you rearrange a quadratic equation to use the quadratic formula?

Back

Tags

CCSS.HSA-REI.B.4B

7.

FLASHCARD QUESTION

Front

What is the significance of the coefficients a, b, and c in the quadratic formula?

Back

Tags

CCSS.HSA-REI.B.4B

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