Describe Quadratic Equations

Solve using the Quadratic Formula.

• A

• B

• C

• D

Solve using the quadratic formula: f(x) = 2x² - 4x + 7

• x = (2 ± 2i√10)/2

• x = (4 ± √40)/4

• x = (2 ± i√10)√/2

• x = (2 ± 2i√40)/4

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

• No solutions

• 1 Solution

• 2 Solutions

• Infinite solutions

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

• No Solutions

• 1 Solution

• 2 Solutions

• Infinite Solutions

Solve using the Quadratic Formula.

• A

• B

• C

• D

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

• x = 7/2, x = -6

• x = -5/2, x = 5

• x = -3/7, x = 6

• x = -5/2, x = 7

Solve x² - 5x + 10 = 0.

• x = (5 - i√15)/2, (5 + i√15)/2

• x = (5 - √15)/2, (5 + √15)/2

• x = (5 - i√65)/2, (5 + i√65)/2

• x = (5 - √65)/2, (5 + √65)/2

Solve for x:

3x² - 6x + 6 = 0

• x = 1± i

• x = 3, -6

• x = 4.8, 2.7

• Undefined

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

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