How do you solve $$x^2 - 49 = 0$$ using the Square Root Method?

Set $$x^2 = 49$$ , then take the square root: $$x = \pm 7$$ .

What are the roots of the equation $$a^2 + 10a - 24 = 0$$ when solved by graphing?

The roots are $$a = -12$$ and $$a = 2$$ .

What is the general form of a quadratic equation?

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

What is the purpose of graphing a quadratic equation?

Graphing a quadratic equation helps visualize the parabola and identify the x-intercepts, which are the solutions to the equation.

What does it mean for a quadratic equation to have no solution?

A quadratic equation has no solution when the discriminant is negative, indicating that the parabola does not intersect the x-axis.

What is the vertex of a parabola?

The vertex of a parabola is the highest or lowest point on the graph, depending on the direction it opens. It can be found using the formula $$x = -\frac{b}{2a}$$ .

How can you verify the solutions of a quadratic equation?

You can verify the solutions by substituting them back into the original equation to see if they satisfy it.

What is the relationship between the coefficients and the roots of a quadratic equation?

The sum of the roots is given by $$-\frac{b}{a}$$ and the product of the roots is given by $$\frac{c}{a}$$ .

What is the difference between real and complex roots?

Real roots are solutions that can be plotted on the number line, while complex roots involve imaginary numbers and cannot be represented on the number line.

Solving Quadratics Review of all Methods Flashcards

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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

How do you set a quadratic equation to zero?

Back

Tags

CCSS.HSA-REI.B.4B

3.

FLASHCARD QUESTION

Front

What does it mean to factor a quadratic equation?

Back

4.

FLASHCARD QUESTION

Front

What is the Square Root Method?

Back

Tags

CCSS.HSA-REI.B.4B

5.

FLASHCARD QUESTION

Front

What is the Completing the Square method?

Back

Tags

CCSS.HSA-REI.B.4B

6.

FLASHCARD QUESTION

Front

What is the significance of the discriminant in the Quadratic Formula?

Back

Tags

CCSS.HSA-REI.B.4B

7.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

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