Challenging Quadratic Formula Questions

What is this formula?

• This is the standard formula.

• This is the quadratic formula.

• This is the square root formula.

• This is the Pythagorean formula

What should you do first in solving this equation?

x² + 6x - 13 = 3

• Factor

• Write down: a = 1, b = 6, c = -13

• Subtract 3 from both sides.

• Add 3 to both sides.

Identify the 'b' value:

16x² -8x -24 = 0

• 16

• -8

• 8

• -24

Identify the 'c' value:

16x² -8x -24 = 0

• 16

• -8

• 24

• -24

What would the discriminant equal in y = 2x² -x -3

• 25

• -23

• -25

• 0

Use the quadratic formula to solve 2x² + 2x - 12 = 0.

• -2, 3

• 2, 3

• 2, -3

• -2, -3

Solve using the quadratic formula...
9x² = 4 + 7x

• x = 2 and x = 3
• x = -1 and x = .25
• x = 1 and x = -.45
• x = 1.16, and x = -.38

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

Solve for x:

3x² - 6x + 6 = 0

• x = 1± i

• x = 3, -6

• x = 4.8, 2.7

• Undefined

Which inequality is shown?

• y< -x²
• y≤ -x²
• y> -x²
• y≥ -x²