Find the Roots with the Quadratic Formula

Solve for x:

3x² - 6x + 6 = 0

• x = 1± i

• x = 3, -6

• x = 4.8, 2.7

• Undefined

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

The discriminant is

• ax² + bx + c

• b - 4ac

• b² - 4ac

• b² + 4ac

Tags

CCSS.HSA-REI.B.4B

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.4B

The quadratic equation can be used to solve quadratic equations that can or cannot be factored.

• True

• False

Tags

CCSS.HSA-REI.B.4B

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.4B

If the discriminant is equal to 4, how many solutions are there?

• No Solutions

• 1 Solution

• 2 Solutions

• Infinite Solutions

Tags

CCSS.HSA-REI.B.4B

Solve using the Quadratic Formula.

• A

• B

• C

• D

Tags

CCSS.HSA-REI.B.4B

Why are quadratic equations set equal to zero?

• Because zero is an easy number to work with.

• Because we are trying to find the x-intercepts and that happens when y = 0.

• Because setting it equal to zero helps us find the y-intercepts.

• None of the above

Tags

CCSS.HSA-REI.B.4B

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.4B

Solutions of a quadratic equation are also called

• roots

• x-intercepts

• zeros

• All of the above