Understanding Quadratic Equations and Discriminants

What characteristic of an equation indicates that it is quadratic?

• It has a linear term.

• It includes a square term.

• It has a constant term.

• It includes a cube term.

In the equation 2x^2 - 4x - t = 0, what is the value of 'a'?

• 4

• -4

• 2

• -2

What must be true for a quadratic equation to have no real solutions?

• The discriminant is a perfect square.

• The discriminant is positive.

• The discriminant is zero.

• The discriminant is negative.

If b = -4, a = 2, and c = -t, what is the expression for the discriminant?

• b^2 - 2ac

• b^2 + 2ac

• b^2 - 4ac

• b^2 + 4ac

For the equation 2x^2 - 4x - t = 0, what value of t results in no real solutions?

• t = 1

• t = 3

• t = -3

• t = 0