Discriminant and Quadratic Equation

Determine the values of a, b, and c for the quadratic equation 4x² - 5 = - 8x.

• A) a = 4, b = -5, c = -8

• B) a = 4, b = 5, c = -8

• C) a = -5, b = 8, c = -4

• D) a = 4, b = 8, c = -5

The discriminant is:

• A) b - 4ac

• B) ax² + bx + c

• C) b² - 4ac

• D) b² + 4ac

Tags

CCSS.HSA-REI.B.4B

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

9n² - 3n - 8 = -10

• A) Positive

• B) Negative

• C) Zero

Tags

CCSS.HSA-REI.B.4B

Mary is solving a quadratic equation using the quadratic formula. She has correctly gotten to this point (as pictured above) and needs to simplify completely. What is the final answer?

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Tags

CCSS.HSA-REI.B.4B

How many real solutions does this graph have?

• A) infinitely many solutions

• B) 0 real solutions

• C) 1 real solution

• D) 2 real solutions

If the discriminant is equal to -6, how many real solutions does the quadratic equation have?

• A) 0 real solutions

• B) 1 real solution

• C) 2 real solutions

• D) more than 2 real solutions

Tags

CCSS.HSA-REI.B.4B

Determine the value of the discriminant and describe the number and type of solutions/roots that results in the quadratic equation. y = 2p² + 5p - 4

• A) -7, no real solutions

• B) -7, 1 real solution, 1 imaginary solution

• C) 57, 2 real distinct solutions

• D) 57, 1 real solution, 1 imaginary solution

Tags

CCSS.HSA-REI.B.4B

What is this formula?

• A) The Speed of Light Formula

• B) The Quadratic Equation

• C) The Discriminant Formula

• D) The Pythagorean Theorem

Tags

CCSS.HSA-REI.B.4B

Use the quadratic formula to determine the solutions/roots to -6x² - 6 = 7x - 9.

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Tags

CCSS.HSA-REI.B.4B

Use the quadratic formula to determine the solutions/roots to y = -2x² + 7x - 4.

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Tags

CCSS.HSA-REI.B.4B