Interpret the Discriminant

Front

What is the discriminant in a quadratic equation?

Back

Front

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

Back

A positive discriminant indicates that the quadratic equation has 2 distinct real solutions.

Front

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

Back

A zero discriminant indicates that the quadratic equation has exactly 1 real solution (a repeated root).

Front

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

Back

A negative discriminant indicates that the quadratic equation has no real solutions (the solutions are complex).

Front

Back

Front

Back

Front

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

Back

If the discriminant is positive, the quadratic equation has 2 real solutions.

Front

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

Back

If the discriminant is zero, the quadratic equation has 1 real solution.

Front

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

Back

If the discriminant is negative, the quadratic equation has no real solutions.

Front

What is the formula for calculating the discriminant?

Back