Discriminant

Front

What is the formula for the discriminant?

Back

The discriminant is given by the formula b² - 4ac.

Front

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

Back

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

Front

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

Back

A negative discriminant indicates that the quadratic equation has two complex (imaginary) 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 one real solution (a repeated root).

Front

Given the quadratic equation x² + 2x - 63, what is the value of the discriminant?

Back

The discriminant is 256.

Front

How many x-intercepts does a quadratic function with a discriminant of 4 have?

Back

It has 2 x-intercepts.

Front

If the discriminant of a quadratic equation is b² - 4ac, what does 'b' represent?

Back

In the quadratic equation ax² + bx + c, 'b' represents the coefficient of the x term.

Front

What is the nature of the solutions if the discriminant is 0?

Back

The solutions are real and equal (one repeated solution).

Front

For the quadratic function y = x² + 4x + 4, what is the discriminant?

Back

The discriminant is 0.

Front

If a quadratic equation has a discriminant of -16, how many real solutions does it have?

Back

It has 0 real solutions.