Exploring the Quadratic Formula and Discriminant

What is the discriminant in the quadratic formula?

• The coefficient of x^2

• The contents of the square root

• The constant term

• The coefficient of x

If the discriminant is positive, how many real solutions does the quadratic equation have?

• Infinite

• None

• One

• Two

What does it mean if the discriminant is zero?

• The equation has one real solution

• The equation has no real solutions

• The equation has complex solutions

• The equation has two real solutions

What type of solutions does a quadratic equation have if the discriminant is negative?

• Two real solutions

• One real solution

• Infinite solutions

• No real solutions

In the equation x^2 - 8x + 16 = 0, what is the value of the discriminant?

• 16

• 128

• 0

• 64

How many real solutions does the equation x^2 - 8x + 16 = 0 have?

• One

• None

• Infinite

• Two

For the equation x^2 - 11x - 26 = 0, what is the value of the discriminant?

• 196

• 144

• 223

• 121

How many real solutions does the equation x^2 - 11x - 26 = 0 have?

• Two

• One

• Infinite

• None

What condition must be met for a quadratic equation to have two real solutions?

• Discriminant must be zero

• Discriminant must be positive

• Discriminant must be negative

• Discriminant must be less than zero

What is the value of p for the equation 2x^2 - x + p = 0 to have exactly one real solution?

• 1/8

• 1

• 1/4

• 1/2