Discriminant

Front

What is the discriminant in a quadratic equation?

Back

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 discriminant of zero indicate about the roots of a quadratic equation?

Back

A discriminant of zero indicates that the quadratic equation has exactly one real root, also known as a repeated or double 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

Back

Front

What is the formula for the discriminant?

Back

Front

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

Back

It has 2 distinct real solutions.

Front

Back

The leading coefficient is 3.

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Back

Front

How can you determine the nature of the roots using the discriminant?

Back

You can determine the nature of the roots as follows: If D > 0, two distinct real roots; D = 0, one real root; D < 0, two complex roots.