Last updated on Oct 23, 2026

The Discriminant (HSC SSCE Mathematics Advanced): Quizzes

📚Quizzes

Revision Notes Model Answers Quizzes Flashcards Exam Questions

The Discriminant

Practise the questions

10 questions from this quiz

Show

What is the formula for the discriminant of $ax^2 + bx + c = 0$ ?

$\Delta = b^2 - 4ac$

How many real roots does a quadratic have when $\Delta > 0$ ?

Two distinct real roots

What type of root occurs when $\Delta = 0$ ?

One real repeated root

What does $\Delta < 0$ indicate about a quadratic's roots?

No real roots

If $\Delta$ is a perfect square and positive, what type of roots result?

Two distinct rational roots

Find $\Delta$ for $x^2 - 4x - 5 = 0$ .

$36$

Where is the parabola when $\Delta < 0$ ?

Doesn't intersect the x-axis

What is the multiplicity of a root when $\Delta = 0$ ?

$2$

If $\Delta = 0$ , what form can the quadratic be written as?

A perfect square trinomial

For equal roots, what must the discriminant equal?

$0$

Join 100,000+ SSCE students studying Quizzes with us.

Select your subjects, and get access to A+ resources today.

The Discriminant (HSC SSCE Mathematics Advanced): Quizzes

Practise the questions

What is the formula for the discriminant of ax2+bx+c=0ax^2 + bx + c = 0ax2+bx+c=0?

How many real roots does a quadratic have when Δ>0\Delta > 0Δ>0?

What type of root occurs when Δ=0\Delta = 0Δ=0?

What does Δ<0\Delta < 0Δ<0 indicate about a quadratic's roots?

If Δ\DeltaΔ is a perfect square and positive, what type of roots result?

Find Δ\DeltaΔ for x2−4x−5=0x^2 - 4x - 5 = 0x2−4x−5=0.

Where is the parabola when Δ<0\Delta < 0Δ<0?

What is the multiplicity of a root when Δ=0\Delta = 0Δ=0?

If Δ=0\Delta = 0Δ=0, what form can the quadratic be written as?

For equal roots, what must the discriminant equal?

Explore HSC SSCE Mathematics Advanced Revision Notes by Topics

Algebraic Techniques

Solve Equations

Introduction to Functions and Relations

Linear Functions

Quadratic and Cubic Functions

Function Properties

Functions and Relations

Trigonometry

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

Transformations

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

Transformations

Advanced Applications of Transformations

Explore HSC SSCE Mathematics Advanced Model Answers by Topics

Algebraic Techniques

Solve Equations

Introduction to Functions and Relations

Linear Functions

Quadratic and Cubic Functions

Function Properties

Functions and Relations

Trigonometry

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

Transformations

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

Transformations

Advanced Applications of Transformations

Explore HSC SSCE Mathematics Advanced Flashcards by Topics

Algebraic Techniques

Solve Equations

Introduction to Functions and Relations

Linear Functions

Quadratic and Cubic Functions

Function Properties

Functions and Relations

Trigonometry

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

What is the formula for the discriminant of $ax^2 + bx + c = 0$ ?

How many real roots does a quadratic have when $\Delta > 0$ ?

What type of root occurs when $\Delta = 0$ ?

What does $\Delta < 0$ indicate about a quadratic's roots?

If $\Delta$ is a perfect square and positive, what type of roots result?

Find $\Delta$ for $x^2 - 4x - 5 = 0$ .

Where is the parabola when $\Delta < 0$ ?

What is the multiplicity of a root when $\Delta = 0$ ?

If $\Delta = 0$ , what form can the quadratic be written as?