Solving Quadratic Equations with Rational Solutions

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

• 76

• -7

• 9

• 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

A function has a discriminant of 25.
______________
How many solutions does it have?

• 0
• 1
• 2
• 5

Determine the value of the discriminant and name the nature of the roots for the following:
x² + 7x + 13
Remember:  b² - 4ac

• 400, 2 real root 
• 0, 1 real root with a multiplicity of 2
• -400, 2 imaginary roots
• -3, 2 imaginary roots

What is the discriminant and how many solutions would this quadratic have?

x² - 6x + 9 = 0

• 0, No Solutions

• 0, 1 Solution

• 72, 2 Solutions

• -72, No Solution

What is the discriminant of this equation?

-5x² - 6 = 0

• 120

• 36

• 16

• -120

Given that the value of A=-5 , B=1 and C=-5, solve for the discriminant.

• -99

• 99

• 101

• -100

Solve for the discriminant of the given equation -2x² -6x=0

• -36

• 36

• 0

• 44

1 What does the discriminant tell us?

• The maximum or minimum

• The y-intercept

• The number and type of solutions

• The axis of symmetry

4 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

• √(-256 - 2 imaginary solutions

• √(137) - 2 reals - Irrational

• 123 - 2 reals - Rational