Can the equation $$2x^2 - 7 = 0$$ be solved by both the Square Root Method and Difference of Squares?

No, it can only be solved by the Square Root Method.

What is the most efficient method to solve $$8x^2 - 5x = 0$$ ?

The most efficient method is Factoring.

What is the best method to solve $$x^2 - x + 10 = 0$$ ?

The best method is the Quadratic Formula.

What is the purpose of the Discriminant in the Quadratic Formula?

The Discriminant, given by $$b^2 - 4ac$$ , determines the nature of the roots of the quadratic equation.

What does it mean if the Discriminant is positive?

If the Discriminant is positive, the quadratic equation has two distinct real roots.

What does it mean if the Discriminant is zero?

If the Discriminant is zero, the quadratic equation has exactly one real root (a repeated root).

What does it mean if the Discriminant is negative?

If the Discriminant is negative, the quadratic equation has no real roots (the roots are complex).

What is the first step in solving a quadratic equation by Factoring?

The first step is to set the equation to zero, if it is not already in that form.

1.5E Choosing a Method Flashcards

Student preview

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

When is the Square Root Method used?

Back

Tags

CCSS.HSA-REI.B.4B

3.

FLASHCARD QUESTION

Front

What is Factoring in the context of quadratic equations?

Back

Tags

CCSS.HSA-REI.B.4B

4.

FLASHCARD QUESTION

Front

What does it mean to Complete the Square?

Back

Tags

CCSS.HSA-REI.B.4B

5.

FLASHCARD QUESTION

Front

What is the Difference of Squares?

Back

Tags

CCSS.HSA.APR.C.4

6.

FLASHCARD QUESTION

Front

Back

The most efficient method is the Quadratic Formula.

Tags

CCSS.HSA-REI.B.4B

7.

FLASHCARD QUESTION

Front

Back

The most efficient method is the Square Root Method.

Tags

CCSS.HSA-REI.B.4B

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