Quadratic Formula and Discriminant

Tags

CCSS.HSA-REI.B.4B

Use the quadratic formula to determine the solutions.

2x² + 2x - 12?

• -2, 3

• 2, 3

• 2, -3

• -2, -3

What does the discriminant tell us?

• The maximum or minimum

• The y-intercept

• The number and type of solutions

• The axis of symmetry

Tags

CCSS.HSA-REI.B.4B

Determine the values of
a, b, and c for
the quadratic equation: 
4x² – 8x = 3

• a = 4, b = -8, c = 3

• a = 4, b =-8, c =-3

• a = 4, b = 8, c = 3

• a = 4, b = 8, c = -3

If the graph of a quadratic does not intercept the x-axis at any point, then it has:

• Real Solution

• Real Solutions

• Half a Solution

• No Real Solution

Tags

CCSS.HSF-IF.C.7A

Use the quadratic formula to determine the solutions. 2x² - 9x - 35 = 0

• x = 7/2, x = -6

• x = -5/2, x =5

• x = -3/7, x =6

• x = -5/2, x = 7

Tags

CCSS.HSA-REI.B.4B

If the discriminant is negative, you will have....

• two real solutions

• two irrational solutions

• no solution

• one solution

Tags

CCSS.HSA-REI.B.4B

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

___________

y = x² + 4x + 4

• Positive

• Negative

• Zero

• Not Sure

Tags

CCSS.HSA-REI.B.4B

Use the discriminant to determine the number of solutions the following quadratic equation has.

6x² − 2x − 3 = 0

• 76 Two Solutions

• 29 Two Solutions

• 68 Two Solutions

• none of these

Tags

CCSS.HSA-REI.B.4B

Use the discriminant to determine the number of solutions the following quadratic equation has.

-2x² − x − 1 = 0

• 76 Two Solutions

• -7 No Solutions

• 9 Two Solutions

• 0 One Solution