Solving Quadratic Equations

Factoring

100

Solve for n: (n-5)(n+3)=0

n= 5 and -3

200

Solve for m: m(m+7)=0

m= 0 and -7

300

Solve for a: a² + 11a + 24 = 0

a= -3 and -8

400

Solve for x: x² - 10a + 21 = 0

x= 3 and 7

500

Solve for p: 15p² - 3p = 0

p= 0 and 1/5

Quadratic Formula

100

Solve for m: m² - 5m - 14 = 0

m= 7 and -2

200

Solve for b: b² - 4b + 4 = 0

b= 2

300

Solve for m: 2m² + 2m - 12 = 0

m= 2 and -3

400

Solve for x: 2x² + 3x - 20 = 0

x= 5/2 and -1

500

Solve for b: 4b² + 8b + 7 = 4

b= -1/2 and -3/2

Discriminant

100

If b²-4ac > 0, how many solutions do we have?

2 solutions

200

If b²-4ac < 0, how many solutions do we have?

No solutions

300

If b²-4ac = 0, how many solutions do we have?

1 solution

400

How many solutions does -x² - 6x - 9 = 0 have?

1 solution

500

How many solutions does -4x² - 4x + 6 = 0 have?

No solutions