Quadratic Formula Lesson Slides: 5 Slides

5 Slides • 0 Questions

1

Quadratic Formula

Finding the Roots when Factoring isn't Possible

2

Where do we get the quadratic formula?

ax^2+bx\ +c=0

4a\left(ax^2+bx+c\right)=0

4a^2x^2+4abx+4ac=0

4a^2x^2+4abx\ =-4ac

4a^2x^2+4abx+b^2=b^2-4ac

\left(2ax+b\right)^2=b^2-4ac

2ax+b=\pm\sqrt{b^2-4ac}

2ax=-b\pm\sqrt{b^2-4ac}

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

3

How do we use it?

First, the equation must be in standard form,
$ax^2+bx+c=0$
Next, identify a, b, and c. Substitute them into the formula.
Finally, simplify!

4

Example: $x^2+2x\ -63=0$

$x=\frac{-2\pm\sqrt{\left(2\right)^2-4\left(1\right)\left(-63\right)}}{2\left(1\right)}$

$x=\frac{-2\pm\sqrt{4+252}}{2}$

$x=\frac{\left(-2\pm16\right)}{2}$

$x=7\ or\ -9$

5

Practice

1.\ \ \ 6x^2-11x-10=0

2.\ \ \ -x^2+2x=1

3.\ \ \ -2x^2+3x=4x-15

4.\ \ \ 8x^2=10x

Quadratic Formula

Finding the Roots when Factoring isn't Possible

Show answer

Auto Play

Slide 1 / 5

SLIDE

Similar Resources on Wayground

6 questions

Sorting and Counting

Presentation

•

KG

6 questions

Decimal Revision

Presentation

•

4th Grade

6 questions

Barisan dan Deret Aritmatika dan Geometri

Presentation

•

10th - 12th Grade

6 questions

Law of Detachment Prequiz

Presentation

•

9th - 12th Grade

2 questions

Bell Ringer

Presentation

•

9th - 12th Grade

3 questions

numero y numeral 2

Presentation

•

KG

2 questions

Bell Ringer

Presentation

•

9th - 12th Grade

4 questions

Lesson 7-2 Part 1 (Academic)

Presentation

•

10th - 12th Grade

Popular Resources on Wayground

10 questions

Safety Day 2026 – Student Review

Quiz

•

9th Grade

21 questions

Continents and Oceans

Quiz

•

6th Grade

20 questions

Parts of Speech

Quiz

•

5th Grade

16 questions

Subject & Predicate

Quiz

•

5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

12 questions

Map Skills

Quiz

•

3rd Grade

22 questions

Continents and Oceans

Quiz

•

5th Grade

15 questions

Rounding Decimals

Quiz

•

5th Grade

Discover more resources for Mathematics

10 questions

Exploring the Basics of Exponents

Interactive video

•

6th - 10th Grade

20 questions

Unit 5 Test RSC (25-26)

Quiz

•

10th Grade

12 questions

Identify Rigid Transformations

Quiz

•

8th - 12th Grade

10 questions

Complementary, Supplementary, Vertical, and Linear Pairs

Quiz

•

9th - 12th Grade

10 questions

Solving Two-Step Equations with Negatives

Interactive video

•

6th - 10th Grade

22 questions

Identify Vertical and Horizontal Translations

Quiz

•

9th - 12th Grade

10 questions

Exploring Equivalent Ratios and Ratio Tables

Interactive video

•

6th - 10th Grade

10 questions

Graphing Inequalities on a Number Line

Quiz

•

9th - 12th Grade