solve by factoring
solve by square root method
solve by quadratic formula
discriminant
completing the square
100

The solution to 

(x + 4)(x + 1) = 0

What is 

x = -4, -1

100

The solution to 

x^2 = 16

What is 

x = +- 4

100

The solution to 

x^2 - 4x + 1 = 0

What is 

x = 2 +-sqrt 3

100

The discriminant of

x^2 +12x +32= 0

What is 16

100

The nature of the roots of 

x^2 -3x = 0

What is 2 real, rational roots

200

The solution to

x^2 - x = 0

What is 

x = 0 and x = 1

200

The solution to 

3x^2 = 27

What is 

x = +-3

200

The solution to 

x^2 - 7x = 18

What is 

x = 9, -2

200

The discriminant of 

x^2 -4x +1 = 0

What is 12

200

The nature of the roots of 

x^2 - 3x - 40 = 0

What is 2 real, rational roots

300

The solution to 

x^2 - x -12 = 0

What is 

x = 4, -3

300

The solution to 

3x^2 = 21

What is 

x =+-sqrt 7

300

The solution to 

x^2 + 9x - 11 = 0

What is 

x = (-9 +- 5sqrt5)/2

300

The nature (number and type) of the roots

3x^2 +5x = 2

What is two real rational roots

300

The nature of the roots of 

7x^2 + 6x + 2 = 0

What is 2 imaginary roots

400

The solution to 

x^2 +3x = 40

What is 

x = 5, -8

400

The solution to 

14n^2 +1 = 1513

What is 

x=+-6sqrt3

400

The solution to 

x^2 - 3x + 7 = 0

What is 

x = (3 +- isqrt11)/10

400

The nature of the roots (number and type)

4x^2 + 7 = 9x

What is 2 complex/imaginary roots

400

The nature of the roots of 

9x^2 = 24x - 16

What is 1 real, rational root

500

The solution to 

18x^2 -3x = 15

What is 

x = 1, - 5/6

500

The solution to 

6x^2+10=-134

What is 

x=+-2isqrt6

500

The solution to 

-3x^2 + 4x - 4 = 0

What is 

x = (2 +-2isqrt2)/3

500

The nature of the roots (number and type)

x^2 - 1/2x + 1/16 = 0

What is one real rational root?

500

The nature of the roots of 

3x^2 - 5/4x - 1/2 = 0

What is 2 real, irrational roots