Quadratic Formula and Discriminant Practice

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is given by the formula b² - 4ac, which determines the nature of the roots of the quadratic equation.

Front

Back

a = 1, b = -6, c = 14.

Front

Back

Front

Back

a = 2, b = -3, c = -5.

Front

Back

Front

What does the quadratic formula solve for?

Back

Front

What does a positive discriminant indicate about the roots of a quadratic equation?

Back

A positive discriminant indicates that the quadratic equation has two distinct real roots.

Front

What does a zero discriminant indicate about the roots of a quadratic equation?

Back

A zero discriminant indicates that the quadratic equation has exactly one real root (a repeated root).

Front

What does a negative discriminant indicate about the roots of a quadratic equation?

Back

A negative discriminant indicates that the quadratic equation has no real roots, but two complex roots.

Front

How can you determine the vertex of a parabola represented by a quadratic equation?

Back