Solve the equation using the Square Roots Method: $$9x^2 - 1 = 63$$

$$x = -\frac{8}{3}, \frac{8}{3}$$ .

What is the simplified form of $$\sqrt{42}$$ ?

$$\sqrt{42}$$ is already in its simplest form.

What does it mean to simplify a square root?

To simplify a square root means to express it in its simplest form, removing any perfect square factors.

What is the relationship between squaring a number and taking its square root?

Squaring a number and taking its square root are inverse operations; squaring a number gives a positive result, while the square root can yield both positive and negative results.

What is the significance of the discriminant in quadratic equations?

The discriminant determines the nature of the roots of a quadratic equation: if positive, two real roots; if zero, one real root; if negative, no real roots.

What is the formula for the Square Roots Method?

If $$ax^2 + b = 0$$ , then $$x^2 = -\frac{b}{a}$$ and $$x = \pm \sqrt{-\frac{b}{a}}$$ .

solving quadratics by square roots Flashcards

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1.

FLASHCARD QUESTION

Front

What is the Square Roots Method in solving quadratics?

Back

The Square Roots Method involves isolating the variable squared on one side of the equation and then taking the square root of both sides to solve for the variable.

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CCSS.HSA-REI.B.4B

2.

FLASHCARD QUESTION

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CCSS.HSA-REI.B.4B

3.

FLASHCARD QUESTION

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CCSS.HSA-REI.B.4B

4.

FLASHCARD QUESTION

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5.

FLASHCARD QUESTION

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CCSS.HSA-REI.B.4B

6.

FLASHCARD QUESTION

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Back

7.

FLASHCARD QUESTION

Front

What is the first step in solving a quadratic equation using the Square Roots Method?

Back

The first step is to isolate the term with the variable squared on one side of the equation.

Tags

CCSS.HSA-REI.B.4B

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