Quadratic Formula and Discriminant

The discriminant is

• aX²  + bX  +  c
• b - 4ac
• b² - 4ac
• b² + 4ac

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

• Positive
• Negative
• Zero
• Not Sure

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

• Positive
• Negative
• Zero
• Not Sure

What is the discriminant of -2x² − x − 1 = 0

• 76

• -7

• 9

• none of these

What is the discriminant of 6x² − 2x − 3 = 0

• 76

• 29

• 68

• none of these

If the discriminant is positive, then the solution will be

• one real solution

• two real solutions

• no real solutions

• one imaginary solution

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

• No solutions

• 1 Solution

• 2 Solutions

• Infinite solutions

1 What does the discriminant tell us?

• The maximum or minimum

• The y-intercept

• The number and type of solutions

• The axis of symmetry

Determine the value of the discriminant and name the nature of the solution for the following:
x² + 2x - 63
Remember:  b² - 4ac

• 256, 2 reals rational solutions
• -256, 2 non-real imaginary solutions
• 137, 2 real irrational solutions
• 123, 2 real irrational solutions