Quadratic Formula and Discriminant

Roots w/ Quadratic Formula

100

x² + 2x - 8 = 0

x = {2, -4}

200

2m² + 7m - 30 = 0

m = {5/2, -6}

300

8x² - 4x -18 = 0

x= {(1 + √37)/4 , (1 - √37)/4 }

400

8x² + 6x + 5 = 0

What is (-3± i√31)/8

Calculating Discriminant

100

6x² - 2x - 3 = 0

76

200

-2x² - x - 1 = 0

-7

300

2x² + 5x - 4 = 0

57

400

-x² - 6x - 9 = 0

0

Nature of Solutions

100

discriminant = -7

2 Imaginary roots

200

discriminant = 256

2 real rational roots

300

Discriminant = 140

2 real irrational roots

400

Discriminant = 0

1 real rational root

Miscellaneous

100

What are the values of a,b,c, in the quadratic equation 4x² + 5x - 9 = 0

What is a = 4, b = 5, c = -9

200

What special form of what family of function is
ax² + bx + c = 0 ?

Standard form quadratic

300

What is the name of the property that is illustrated below?

If ab = 0, then a = 0 or b = 0 or both

zero-product property

400

What is the first step when solving the following equation 3x² - 5x = -2

What is add 2 to both sides of the equation