Discriminant

Front

What is the discriminant in a quadratic equation?

Back

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

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 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 two complex (imaginary) roots.

Front

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

Back

The discriminant is calculated using the formula D = b² - 4ac.

Front

If a quadratic equation has a discriminant of -3, how many x-intercepts does it have?

Back

It has 0 x-intercepts.

Front

In the equation y = x² + 5x + 7, identify the coefficients a, b, and c.

Back

a = 1, b = 5, c = 7.

Front

For the function y = x² + 5x + 7, is the discriminant positive, negative, or zero?

Back

The discriminant is zero.

Front

What is the value of the discriminant for the equation x² + 7x + 13?

Back

The value of the discriminant is -3.

Front

What is the nature of the roots for the equation x² + 7x + 13?

Back

The roots are 2 imaginary roots.