The Discriminant and Quadratic Formula

What is the discriminant and how many solutions would this quadratic have?

• -92, No Solutions

• 164, 2 Solutions

• -164, No Solutions

• 92, 2 Solutions

What is the discriminant of this equation?

3x² + 8x = 0

• 64

• 52

• 9

• 0

The discriminant is

• aX² + bX + c

• b - 4ac

• b² - 4ac

• b² + 4ac

What does the discriminant tell us?

• The maximum or minimum

• The y-intercept

• The number and type of solutions

• The axis of symmetry

Determine the value of the discriminant and name the nature of the solution for the following:

x² + 2x - 63

Remember: b² - 4ac

• 256 - 2 reals - Rational

• √(-256 - 2 imaginary solutions

• √(137) - 2 reals - Irrational

• 123 - 2 reals - Rational

What is the discriminant of

-2x² − x − 1 = 0 ?

• 76

• -7

• 9

• none of these

For the function below, is the discriminant positive, negative, or zero?

y = x² + 4x + 4

• Positive

• Negative

• Zero

How many x-intercepts does it have?

• 0

• 1

• 2

• 4

How many x-intercepts does it have?

• 0

• 1

• 2

• 5

find x for
2x²-8x-24=0

• x= 6, -2

• x= 2, -6

• x= 4, 2

• x= 2, 6