The Discriminant (VCE SSCE Mathematical Methods): Quizzes

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

b2−4acb^2 - 4ac

How many real solutions does ax2+bx+c=0ax^2 + bx + c = 0 have if Δ<0\Delta < 0?

No real solutions

If Δ=0\Delta = 0, how many x-axis intercepts does the parabola have?

One intercept

What does Δ>0\Delta > 0 tell us about the quadratic equation?

Two distinct real solutions

Find Δ\Delta for y=x2−8x+16y = x^2 - 8x + 16.

00

If Δ\Delta is a perfect square and Δ≠0\Delta \neq 0, what are the solutions?

Two rational solutions

When does a quadratic have two irrational solutions?

Δ\Delta not perfect square & Δ>0\Delta > 0

Where does the parabola touch the x-axis when Δ=0\Delta = 0?

At the turning point (vertex)

Find Δ\Delta for y=2x2−3x+4y = 2x^2 - 3x + 4.

−23-23

Which is an example of a perfect square?

1616

Explore VCE SSCE Mathematical Methods Revision Notes by Topics

Expanding and Collecting Like Terms

Factorising

Quadratic Equations

Graphing Quadratics

Completing the Square and Turning Points

Graphing Quadratics in Polynomial Form

Solving Quadratic Inequalities

The General Quadratic Formula

The Discriminant

Solving Simultaneous Linear and Quadratic Equations

Families of Quadratic Polynomial Functions

Quadratic Models

Show more

The Discriminant

Solving Simultaneous Linear and Quadratic Equations

Families of Quadratic Polynomial Functions

Quadratic Models

Explore VCE SSCE Mathematical Methods Model Answers by Topics

Expanding and Collecting Like Terms

Factorising

Quadratic Equations

Graphing Quadratics

Completing the Square and Turning Points

Graphing Quadratics in Polynomial Form

Solving Quadratic Inequalities

The General Quadratic Formula

The Discriminant

Solving Simultaneous Linear and Quadratic Equations

Families of Quadratic Polynomial Functions

Quadratic Models

Show more

The Discriminant

Solving Simultaneous Linear and Quadratic Equations

Families of Quadratic Polynomial Functions

Quadratic Models

Explore VCE SSCE Mathematical Methods Flashcards by Topics

Expanding and Collecting Like Terms

Factorising

Quadratic Equations

Graphing Quadratics

Completing the Square and Turning Points

Graphing Quadratics in Polynomial Form

Solving Quadratic Inequalities

The General Quadratic Formula

The Discriminant

Solving Simultaneous Linear and Quadratic Equations

Families of Quadratic Polynomial Functions

Quadratic Models

Show more

The Discriminant

Solving Simultaneous Linear and Quadratic Equations

Families of Quadratic Polynomial Functions

Quadratic Models

Explore VCE SSCE Mathematical Methods Exam Questions by Topics

Expanding and Collecting Like Terms

Factorising

Quadratic Equations

Graphing Quadratics

Completing the Square and Turning Points

Graphing Quadratics in Polynomial Form

Solving Quadratic Inequalities

The General Quadratic Formula

The Discriminant

Solving Simultaneous Linear and Quadratic Equations

Families of Quadratic Polynomial Functions

Quadratic Models

Show more

The Discriminant

Solving Simultaneous Linear and Quadratic Equations

Families of Quadratic Polynomial Functions

Quadratic Models

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