Discriminant

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is a value calculated from the coefficients of a quadratic equation in the form ax² + bx + c. It is given by the formula D = b² - 4ac.

Tags

CCSS.HSA-REI.B.4B

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.

Tags

CCSS.HSA-REI.B.4B

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, also known as a repeated or double root.

Tags

CCSS.HSA-REI.B.4B

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.

Tags

CCSS.HSA-REI.B.4B

Front

Given the quadratic equation 4x² - 8x - 3 = 0, identify a, b, and c.

Back

a = 4, b = -8, c = -3.

Front

If the discriminant is equal to -2, how many solutions are there?

Back

There are 2 imaginary solutions.

Tags

CCSS.HSA-REI.B.4B

Front

What does the discriminant tell us about the nature of the roots of a quadratic equation?

Back

The discriminant tells us the number and type of solutions (real or imaginary) of the quadratic equation.

Tags

CCSS.HSA-REI.B.4B

Front

If the discriminant is positive, what can we conclude about the roots?

Back

If the discriminant is positive, there are two real solutions.

Tags

CCSS.HSA-REI.B.4B

Front

If the discriminant is negative, what can we conclude about the roots?

Back

If the discriminant is negative, there are two imaginary solutions.

Tags

CCSS.HSA-REI.B.4B

Front

What is the formula for calculating the discriminant?

Back

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

Tags

CCSS.HSA-REI.B.4B