Factoring with Quadratic Formula and Discriminant

When does a quadratic equation have complex solutions?

• When the discriminant is positive.

• When the quadratic equation has only one solution.

• When the discriminant is zero.

• When the discriminant is negative.

Answer explanation

A quadratic equation has complex solutions when the discriminant is negative.

Tags

CCSS.HSA-REI.B.4B

What is the role of the discriminant in a quadratic equation?

• The discriminant determines the nature of the roots of the quadratic equation.

• The discriminant is used to find the coefficient of the quadratic equation.

• The discriminant is used to simplify the quadratic equation.

• The discriminant is used to find the degree of the quadratic equation.

Answer explanation

The discriminant determines the nature of the roots of the quadratic equation.

Tags

CCSS.HSA-REI.B.4B

What has to be done first here to begin to solve?

• make the equation = 0

• combine 11x and 28

• list factors of -28

• list factors of 11

Tags

CCSS.HSA-REI.B.4B

Why is there a + with a - in front of the square root sign?

• It's a new operation

• you just pick one to use

• you use both, once with +, once with -

• eh, whatever

Tags

CCSS.HSA-REI.B.4B

When using the Quadratic formula you have to identify a, b, and c. Which answer does this correctly?

• a = 6, b = 1, c = 1

• a = -6, b = -1, c = 1

• a = -1, b = 6, c = 1

• a = 1, b = -1, c = -6

Tags

CCSS.HSA-REI.B.4B

• then your answer will be negative

• the quadratic has no solutions

• the quadratic has one solution

• the quadratic is crazy

Tags

CCSS.HSA-REI.B.4B

If the discriminant is zero you will have

• no real solutions

• two real solutions

• 1 real solution

• 1 imaginary solution

Tags

CCSS.HSA-REI.B.4B

Solve the following quadratic equation...

x² + 13x + 36= 0

• x = -2

  x = -18

• x = -9

  x = -4

• x = -3

  x = -12

• x = -6

  x = -6

Tags

CCSS.HSA-REI.B.4B

Solve using the Quadratic Formula:

x² + 6x + 9 = 0

• x = −3, 3

• x = −3

• x = 3

• No Solution

Tags

CCSS.HSA-REI.B.4B

Solve using the Quadratic Formula:

15x² + 22x = −8

• x = −2/3, 4/5

• x = 2/3, −4/5

• x = 2/3, 4/5

• x = −2/3, −4/5

Tags

CCSS.HSA-REI.B.4B