Using the Discriminant

The discriminant is

• aX²  + bX  +  c
• b - 4ac
• b² - 4ac
• b² + 4ac

Tags

CCSS.HSA.REI.B.4

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.4

If the discriminant is negative, then the quadratic has:

• 1 Real Solution

• 2 Real Solutions

• Half a Solution

• 2 Complex (imaginary) Solutions

Tags

CCSS.HSA.REI.B.4

CCSS.HSN.CN.A.1

CCSS.HSN.CN.C.7

CCSS.HSN.CN.C.9

If the discriminant is equal to 0, how many solutions are there?

• No solutions

• 1 Solution

• 2 Solutions

• Infinite solutions

Tags

CCSS.HSA.REI.B.4

If the discriminant is positive, then the solution will be

• one real solution

• two real solutions

• no real solutions

• one imaginary solution

Tags

CCSS.HSA.REI.B.4

Determine the value of the discriminant and describe the number and type roots for the following:

x² + 7x + 13

• 101, 2 real roots

• 3, 2 real roots

• -101, 2 imaginary roots

• -3, 2 imaginary roots

Tags

CCSS.HSA.REI.B.4

Determine the value of the discriminant and describe the number and type roots for the following:

x² + 7x + 13

• 101, 2 real roots

• 3, 2 real roots

• -101, 2 imaginary roots

• -3, 2 imaginary roots

Tags

CCSS.HSA.REI.B.4

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

x² - 6x + 9 = 0

• 0, No Solutions

• 0, 1 Solution

• 72, 2 Solutions

• -72, No Solution

Tags

CCSS.HSA.REI.B.4

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

-8x² + 6x - 4 = 0

• -92, No Solutions

• 164, 2 Solutions

• -164, No Solutions

• 92, 2 Solutions

Tags

CCSS.HSA.REI.B.4

What is the discriminant of this equation?

3x² + 8x = 0

• 64

• 52

• 9

• 0

Tags

CCSS.HSA.REI.B.4