Quadratic Formula and Completing the Square

What is one of the solutions to this equation?
(2x - 1)² = 49

• 7

• -7

• -4

• -3

Tags

CCSS.HSA-REI.B.4B

Determine the values of a, b, and c for the quadratic equation:

4x² – 8x = 3

• a = 4, b = -8, c = 3

• a = 4, b =-8, c =-3

• a = 4, b = 8, c = 3

• a = 4, b = 8, c = -3

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

• -2, 3

• 2, 3

• 2, -3

• -2, -3

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.4B

What is the formula for the discriminant?

• x = -b/2a

• b² - 4ac

• a² + b² = c²

• x = [-b±√(b²-4ac)]/2a

Tags

CCSS.HSA-REI.B.4B

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

• No Solutions

• 1 Real Solution

• 2 Real Solutions

• 2 Imaginary Solutions

Tags

CCSS.HSA-REI.B.4B

If the discriminant is equal to -2, how many solutions are there?

• No Solutions

• 1 Real Solution

• 2 Real Solutions

• 2 Imaginary Solutions

Tags

CCSS.HSA-REI.B.4B

Given that the value of a=-5, b=1, c= 3 find the discriminant, b^2-4ac

• 41

• 51

• 61

Tags

CCSS.HSA-REI.B.4B

For the function above, is the discriminant positive, negative, or zero?

• Positive

• Negative

• Zero

• Not Sure

Tags

CCSS.HSA-REI.B.4B

Determine the value of the discriminant and name the nature of the roots for the following:

x² + 7x + 13

• 400, 2 real roots

• 0, 1 real root with a multiplicity of 2

• -400, 2 imaginary roots

• -3, 2 imaginary roots

Tags

CCSS.HSA-REI.B.4B