Solve: $$6x^2 - x - 2 = 0$$

$$x = \frac{2}{3}, -\frac{1}{2}$$ .

What are the factors and solutions of $$x^2 + 2x - 3 = 0$$ ?

Factors: $$ (x - 1)(x + 3) $$ ; Solutions: $$x = 1, x = -3$$ .

What is completing the square?

Completing the square is a method used to solve quadratic equations by rewriting the equation in the form $$(x - p)^2 = q$$ , making it easier to solve for $$x$$ .

Solve by completing the square: $$k^2 - 12k + 23 = 0$$

$$k = 6 + \text{√}13, 6 - \text{√}13$$ .

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 in a quadratic function?

The axis of symmetry is a vertical line given by $$x = -\frac{b}{2a}$$ , which divides the parabola into two mirror-image halves.

What is the significance of the leading coefficient in a quadratic equation?

The leading coefficient $$a$$ determines the direction of the parabola: if $$a > 0$$ , the parabola opens upwards; if $$a

What are the roots of a quadratic equation?

The roots of a quadratic equation are the values of $$x$$ that make the equation equal to zero, representing the x-intercepts of the graph.

How do you determine if a quadratic equation can be factored?

A quadratic equation can be factored if its discriminant $$D = b^2 - 4ac$$ is a perfect square, indicating rational roots.

Solving Quadratic Equations Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a quadratic equation?

Back

2.

FLASHCARD QUESTION

Front

What are the methods to solve quadratic equations?

Back

Tags

CCSS.HSA-REI.B.4B

3.

FLASHCARD QUESTION

Front

What is the quadratic formula?

Back

Tags

CCSS.HSA-REI.B.4B

4.

FLASHCARD QUESTION

Front

What does the discriminant tell us?

Back

Tags

CCSS.HSA-REI.B.4B

5.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

6.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.EE.A.2

7.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

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