What is the square root property in solving quadratic equations?

The square root property states that if $$x^2 = k$$ , then $$x = \text{±}\sqrt{k}$$ .

What is the importance of the vertex in a quadratic equation?

The vertex represents the highest or lowest point of the parabola, indicating the maximum or minimum value of the quadratic function.

What does it mean for a quadratic equation to have two real solutions?

A quadratic equation has two real solutions if its graph intersects the x-axis at two points.

What is the discriminant in a quadratic equation?

The discriminant is given by $$D = b^2 - 4ac$$ and determines the nature of the roots of the quadratic equation.

What are the possible values of the discriminant and their meanings?

If $$D > 0$$ , there are two distinct real roots; if $$D = 0$$ , there is one real root; if $$D

How can you check your solutions for 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 coefficients and the roots of a quadratic equation?

For a quadratic equation $$ax^2 + bx + c = 0$$ , the sum of the roots is $$-b/a$$ and the product of the roots is $$c/a$$ .

What is the significance of the axis of symmetry in a quadratic function?

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

Solve by Square Rooting Flashcard Flashcards

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1.

FLASHCARD QUESTION

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What is the vertex form of a quadratic equation?

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2.

FLASHCARD QUESTION

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How do you solve a quadratic equation in vertex form by square rooting?

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To solve a quadratic equation in vertex form by square rooting, isolate the squared term, take the square root of both sides, and then solve for x.

3.

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5.

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