What is the first step in solving $$ax^2 + c = d$$ ?

The first step is to isolate $$ax^2$$ by rearranging the equation to $$ax^2 = d - c$$ .

What happens if the constant term is negative in a quadratic equation?

If the constant term is negative, the equation may have no real solutions when taking square roots.

What is the significance of the discriminant in quadratic equations?

The discriminant, given by $$b^2 - 4ac$$ , determines the nature of the roots: if positive, two real solutions; if zero, one real solution; if negative, no real solutions.

How do you check your solutions after solving a quadratic equation?

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

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

The roots of a quadratic equation correspond to the x-intercepts of its graph, which is a parabola.

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

The vertex is the highest or lowest point of the parabola, found at $$x = -\frac{b}{2a}$$ .

Solving Quadratic Equations by Square Roots 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 does it mean to solve a quadratic equation by taking square roots?

Back

Solving a quadratic equation by taking square roots involves isolating the squared term and then applying the square root to both sides of the equation.

Tags

CCSS.HSA-REI.B.4B

3.

FLASHCARD QUESTION

Front

What is the square root property?

Back

Tags

CCSS.HSA-REI.B.4B

4.

FLASHCARD QUESTION

Front

How do you isolate a squared term in a quadratic equation?

Back

To isolate a squared term, you rearrange the equation to get the squared term on one side and the constant on the other side.

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.8.EE.A.2

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