Solving Quadratic Equations

Factorising

100

Solve the following quadratic equation: 

x² -9 = -8

x = 1 or x = -1

200

Solve the following quadratic equation by factorising. 

x²+3x+2 = 0

x = -2 x = -1

300

Solve the following quadratic equation by factorising. 

x² - 6x - 27 = 0

x = 9 x = -3

400

Solve the following quadratic equation by factorising. 

3x² =17x + 28

x = 7 or x = -4/3

500

Solve the following quadratic equation by factorising.

9x² + 4 = 15x

x=-4/3, x=-1/3

Completing square

100

What is completing square formula?

(x + (b/2))² - (b/2)² + c = 0

200

Solve the following quadratic equation by completing the square: 

x² - 6x = -5

x = 1 x = 5

300

Solve the following quadratic equation by completing the square: 

x² - 2x - 24 = 0

x = -4 x = 6

400

Solve the following quadratic equation by completing square. 

5x²-19x+12

x= 4/5 and 3

500

Solve the following quadratic equation by completing square. 

2x² -5x = 6

x = 3.39 or x = -0.886

Expanding

100

Expand 

2x(x+3)

2x^2+6x

200

Expand 

3x(2x+6)

6x^2+18x

300

Expand and simplify  

2(x+3)-3x(2x-4)

-6x^2+14x+6

400

Expand and simplify 

(x+1)(x-3)

x^2-2x-3

500

Expand and simplify 

(2x-4)(3x+1)

6x^2-10x-4

Miscellaneous

100

Where is Miss White from?

Gold Coast

200

How many years has Miss White been teaching?

.75

300

What was Miss White's job before being a teacher?

Snorkel guide/deck hand

400

Does Miss White have any siblings? (if so, how many and what gender?)

Yes, one brother

500

What is Miss White's favourite colour?

Purple