Discriminant

Front

What is the discriminant in a quadratic equation?

Back

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

Front

How many solutions does a quadratic equation have if the discriminant is zero?

Back

The quadratic equation has exactly one real solution.

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 no real solutions, only two imaginary solutions.

Front

Given the quadratic equation x² + 4x + 4 = 0, what is the discriminant?

Back

The discriminant is 0.

Front

How do you convert the equation x² - 6 = x into standard form?

Back

The standard form is x² - x - 6 = 0.

Front

If the discriminant of a quadratic equation is 36, how many solutions does it have?

Back

It has two distinct real solutions.

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax² + bx + c = 0, where a, b, and c are constants.

Front

Calculate the discriminant for the equation -2x² - 6x = 0.

Back

The discriminant is 36.

Front

What is the relationship between the coefficients and the discriminant in a quadratic equation?

Back

The discriminant is calculated using the coefficients a, b, and c from the equation ax² + bx + c.