Solve by completing the square: $$k^2 - 12k + 23 = 0$$

$$6 + \sqrt{13}, 6 - \sqrt{13}$$ .

What is the quadratic formula?

The quadratic formula is $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ .

What is the discriminant in a quadratic equation?

The discriminant is the part of the quadratic formula under the square root, given by $$b^2 - 4ac$$ , which determines the nature of the roots.

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).

Solve by completing the square: $$x^2 + 4x - 16 = 0$$

$$x = -2 + \sqrt{20}, x = -2 - \sqrt{20}$$ .

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 $$\frac{c}{a}$$ .

Solve by Completing the Square Practice Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the process of completing the square?

Back

Completing the square is a method used to solve quadratic equations by rewriting the equation in the form of a perfect square trinomial.

Tags

CCSS.HSA-REI.B.4B

2.

FLASHCARD QUESTION

Front

What do you do to the b value to correctly complete the square?

Back

Divide it by 2 and square the result.

Tags

CCSS.HSA-REI.B.4B

3.

FLASHCARD QUESTION

Front

Back

Subtract 21 from each side of the equation.

Tags

CCSS.HSA-REI.B.4B

4.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

5.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic equation?

Back

6.

FLASHCARD QUESTION

Front

What is a perfect square trinomial?

Back

Tags

CCSS.HSA.APR.C.4

7.

FLASHCARD QUESTION

Front

How do you find the vertex of a parabola given by a quadratic equation?

Back

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

15 questions

Urban Heat Islands

Flashcard

•

9th Grade

8 questions

MATHEMATICS 10 - Graph of Polynomial Functions PART 1

Flashcard

•

10th Grade

10 questions

year 6 unit 8 vocabulary

Flashcard

•

8th Grade

12 questions

Trennbare Verben

Flashcard

•

KG

13 questions

Adjectives ending in -ED and -ING

Flashcard

•

KG - 7th Grade

15 questions

Waves

Flashcard

•

8th Grade

13 questions

Protagonist vs. Antagonist

Flashcard

•

7th Grade

14 questions

Africa Population and Trade

Flashcard

•

7th Grade

Popular Resources on Wayground

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

$fractions$

22 questions

fractions

Quiz

•

3rd Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

15 questions

Equivalent Fractions

Quiz

•

4th Grade

20 questions

Figurative Language Review

Quiz

•

6th Grade

Discover more resources for Mathematics

15 questions

Product of Powers Property A1 U7

Quiz

•

8th Grade

20 questions

Laws of Exponents

Quiz

•

8th Grade

16 questions

8th U5L5 Graphs of Functions

Quiz

•

8th Grade

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade

20 questions

Exponent Rules Review

Quiz

•

8th - 9th Grade

20 questions

One Step equations addition and subtraction

Quiz

•

5th - 8th Grade

20 questions

Translations

Quiz

•

8th Grade

25 questions

Complementary and Supplementary Angles

Quiz

•

7th - 10th Grade