How do you solve $$x^2 = 48$$ ?

To solve $$x^2 = 48$$ , take the square root of both sides: $$x = \\pm \sqrt{48} = \\pm 4\sqrt{3}$$ .

What is the solution to the equation $$2x^2 + 2x + 12 = 0$$ using the Quadratic Formula?

The solution is $$x = \frac{-1 \pm 2i\sqrt{23}}{2}$$ .

How do you find the roots of a quadratic equation?

To find the roots of a quadratic equation, you can either factor the equation, complete the square, or use the Quadratic Formula.

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 does it mean if the discriminant is zero?

If the discriminant is zero, it means that the quadratic equation has exactly one real root, also known as a repeated or double root.

What is the quadratic equation Jeremy is solving if he set up $$x = \frac{-2 \pm \sqrt{(2)^2 - 4(5)(-9)}}{2(5)}$$ ?

The quadratic equation is $$5x^2 + 2x - 9 = 0$$ .

How do you simplify $$\sqrt{40}$$ ?

$$\sqrt{40} = \sqrt{4 \cdot 10} = 2\sqrt{10}$$ .

What is the solution to the equation $$f(x) = 2x^2 - 4x + 7$$ using the Quadratic Formula?

The solution is $$x = \frac{2 \pm i\sqrt{10}}{2}$$ .

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 for a quadratic function?

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

Quadratic Formula/Square Roots Flashcard Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the Quadratic Formula?

Back

2.

FLASHCARD QUESTION

Front

What does the discriminant tell us?

Back

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

What is the first step in using the Quadratic Formula?

Back

5.

FLASHCARD QUESTION

Front

What is the significance of the term 'b' in the Quadratic Formula?

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic equation?

Back

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