Quadratic Formula

How Many Solutions?

100

When the discriminant equals zero?

What is 1 real solution.

200

When the discriminant is greater than 0.

What is 2 real solutions

300

When the discriminant is less than zero.

What is no real solutions/2 complex solutions

400

x² + 4x - 5

What is 2 real solutions

500

x² + 4x + 5

What is no real solutions/2 complex solutions

Finding All Solutions

100

3x² - 13x - 56

What is x=7 and x=-8/3

200

-16x² - 76x - 48

What is x=4, x=-3/4

300

x² - 5x - 24

What is 8, -3

400

4x² + 11x - 20

What is -4, 5/4

500

-x² +2x - 10 = 0

1 +- 3i

Finding All Solution 2

100

x² - 3x - 3

What is 3+/- v(21)/2

200

x² + 5x + 5

What is -5+/- v(5)/2

300

x² + x - 1

What is -1+/- v(5)/2

400

4x² + 8x - 1=0

What is -2+/- v(5)/2

500

2x² -3x +5=0

3/4   +-   i sqrt(31)/ 4

Simplifying Square Roots

100

√50

What is 5√2

200

√-175

What is 5i√7

300

√-220

What is 2i√55

400

√-336

What is 4i√21

500

√972

What is 18√3