Quadratic Equations

Factorise and Solve

Quadratic Facts

Quadratic Formula

Random Quads

100

When factoring x² - 4, the result is this.

(x+2)(x−2)

100

Solve the equations by factorising:

2x² + 6x = 0

x=0,

x= -3

100

Describe this equation:

5x²+ 9x - 12 = 0

What is a "Non-Monic Quadratic Trinomial Equation"

100

Identify a, b and c in the following equation:

x² - 6x + 5 = 0

a = 1; b = - 6; c = 5

100

What law is used to solve (x-5)(x+2) =0

The null factor law

200

Solve the following quadratic equation

3x² = 27

"x = 3

and

x = -3"

200

Solve the following quadratic equation by factoring.

x² - 6x + 5 = 0

x = 5

and

x = 1

200

What are the three different types of solutions we can have when solving quadratics

What is "No solution, One solution or Two solutions"

200

What is the quadratic formula?

x = ( -b ± √(b² - 4ac)) / (2a)

200

An equation written in ax² +bx + c = 0, is in what form?

Standard Form

General Form

300

Solve the equation:

(x - 7)(x + 2) = 0

x = 7

and

x = -2

300

Solve by completing the square

x² - 6x + 1 = 0

x = 3 ± √8

300

The highest power of a quadratic equation

What is Power of 2.

300

How many solutions does the following equation have?

x² - 9x + 20 = 0

2 solutions

300

State 3 different methods that could be used to solve this quadratic equation:

x²+6x+9 = 0

Completing the square

PSF

Quadratic Formula

400

Solve the following quadratic equation by factoring.

x²- 3x + 2 = 0

x = 2

and

x = 1

400

2x²- 8x = 6

x = 3

and

x = 1

400

How do we know a quadratic function does not have a solution?

What is "The Discriminant <0"

400

Use the quadratic formula to give exact solutions for the following equation:

x² +3x - 6 = 0

x = (-3 ± √33) / 2

400

When using quadratic equations to model a problem, what is the last step to consider?

Check your solution solves the problem and answers the question in the context in which it was given.

Ensure all answers are logical.

500

Solve the following quadratic equation by factoring. 2x² - 5x + 3 = 0

x = 1

and

x = 3/2

500

The area of a rectangle is fixed at 28 square meters. Its length is 3 metres more than its breadth. Find the dimensions of the rectangle.

What is "Breadth =4 and Length =7"

500

The shape of the graph of any quadratic equation.

What is "A parabola!"

500

Solve the following quadratic equation by using the quadratic formula: 2x² + 9x + 4 = 0

x = -1/2

and

x = - 4

500

Describe the type of quadratic equation for which the discriminant equals zero.

A perfect square