The General Quadratic Formula (VCE SSCE Mathematical Methods): Quizzes

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The General Quadratic Formula
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When is the quadratic formula most useful?

When a quadratic doesn't factor nicely

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

x=−b±b2−4ac2ax = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

What does x=−b2ax = -\frac{b}{2a} give you?

The axis of symmetry

What is the discriminant in the quadratic formula?

b2−4acb^2 - 4ac

What does a positive discriminant (b2−4ac>0b^2 - 4ac > 0) indicate?

Two distinct real solutions

What does b2−4ac=0b^2 - 4ac = 0 indicate?

Exactly one solution (repeated root)

What does a negative discriminant indicate?

No real solutions

Which method is more useful for curve sketching?

Completing the square

How is the quadratic formula derived?

From completing the square

For −3x2−12x−7=0-3x^2 - 12x - 7 = 0, what are aa, bb, cc?

a=−3a = -3, b=−12b = -12, c=−7c = -7

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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