Quadratic formula and discriminant

Front

What is the quadratic formula?

Back

Front

What does the discriminant of a quadratic equation indicate?

Back

Front

If the discriminant of a quadratic equation is equal to 0, how many real solutions are there?

Back

One real solution.

Front

What are the solutions of a quadratic equation also called?

Back

Roots, x-intercepts, or zeros.

Front

If the discriminant is equal to -2, how many real solutions are there?

Back

None.

Front

Back

The discriminant is 0, indicating one real solution.

Front

How do you determine the number of real solutions for a quadratic equation?

Back

Front

What is the significance of the quadratic formula in solving quadratic equations?

Back

The quadratic formula provides a systematic method to find the roots of any quadratic equation, regardless of whether the roots are real or complex.

Front

Back

Front

What happens to the solutions of a quadratic equation if the discriminant is positive?

Back

There are two distinct real solutions.