The Discriminant

Presentation

•

Mathematics

•

9th Grade

•

Practice Problem

•

Medium

•

CCSS

HSA-REI.B.4B, HSN.CN.C.7

Standards-aligned

Laura Lawrence

Used 260+ times

FREE Resource

5 Slides • 5 Questions

The Discriminant

What is the Discriminant??

This is part of the quadratic formula that informs us how how many solutions the quadratic equation will have.

Why is it Important??

When solving using the quadratic formula, you will know how many solutions you should have.

-a positive answer = 2 real roots

-a zero answer = 1 real root

-a negative answer = no real roots

Finding the Discriminant

1. Your equation must be in standard form.
2. Identify the a, b, and c from the equation.
3. Plug the values into $b^2-4ac$ and then solve!!

$y\ =x^2-8x+16$

Find the discriminant:

1. The a = __ b = __ c = __
2. Plug into: $b^2-4ac$

3. So how many solutions does the equation have?

Multiple Choice

If the discriminant is positive, then the solution will be

One real solution

two real solutions

two non-real solutions

all real numbers

Multiple Choice

If the discriminant is negative, then the solution will be

one real solution

two real solutions

two non-real solutions

all real numbers

Multiple Choice

Determine the value of the discriminant

y=x^2+7x+13

101

-101

-3

Multiple Choice

Describe the number and type solutions for the following:

y=x^2+7x+13

2 real solutions

2 non-real solutions

1 real solution

1 non-real solution

Multiple Choice

For the function below, what is the discriminant?

x^2+8x+16=0

-4

The Discriminant

Show answer

Auto Play

Slide 1 / 10

SLIDE

Similar Resources on Wayground

11 questions

Quadratics Attributes/Characteristics

Presentation

•

9th Grade

9 questions

Domain & Range

Presentation

•

9th Grade

10 questions

Bearings

Presentation

•

9th Grade

7 questions

Intro to Arithmetic Sequences

Presentation

•

9th Grade

7 questions

11.6 Two Way Frequency Tables

Presentation

•

9th Grade

10 questions

Slope given a Graph

Presentation

•

9th Grade

9 questions

Point Slope Form

Presentation

•

8th - 9th Grade

7 questions

Exponential Functions: Tables

Presentation

•

9th 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

12 questions

Absolute Value Equations

Quiz

•

9th Grade

20 questions

Function or Not a Function

Quiz

•

8th - 9th Grade

11 questions

Slope from 2 points

Quiz

•

8th - 9th Grade

10 questions

Exploring the Basics of Exponents

Interactive video

•

6th - 10th Grade

10 questions

Solving Absolute Value Equations

Quiz

•

9th Grade

18 questions

SB 12.2 Write in point slope form

Quiz

•

9th Grade

12 questions

Identify Rigid Transformations

Quiz

•

8th - 12th Grade

10 questions

Complementary, Supplementary, Vertical, and Linear Pairs

Quiz

•

9th - 12th Grade