Discriminant

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is the part of the quadratic formula under the square root, given by b² - 4ac, which determines the nature of the roots.

Front

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

Back

2 real roots.

Front

If the discriminant is zero, what does it indicate about the roots of the quadratic equation?

Back

1 real repeated root.

Front

If the discriminant is negative, what can be said about the roots of the quadratic equation?

Back

2 imaginary roots.

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a).

Front

How do you calculate the discriminant for the quadratic equation ax² + bx + c?

Back

Discriminant = b² - 4ac.

Front

What does a discriminant of 4 indicate about the roots of a quadratic equation?

Back

2 real roots.

Front

What does a discriminant of -3 indicate about the roots of the quadratic equation x² + 7x + 13?

Back

2 imaginary roots.

Front

What is the significance of the discriminant in relation to the graph of a quadratic function?

Back

It indicates the number and type of x-intercepts (roots) of the graph.

Front

What is the relationship between the discriminant and the number of solutions to a quadratic equation?

Back

The discriminant determines whether there are 0, 1, or 2 real solutions.