2-6 The Discriminant

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What is the discriminant of a quadratic equation?

Back

Tags

CCSS.HSA-REI.B.4B

Front

What does a discriminant of 0 indicate about the solutions of a quadratic equation?

Back

A discriminant of 0 indicates that the quadratic equation has exactly one real solution, also known as a double root.

Tags

CCSS.HSA-REI.B.4B

Front

If the discriminant is positive, how many real solutions does the quadratic equation have?

Back

If the discriminant is positive, the quadratic equation has two distinct real solutions.

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 no real solutions, but two complex (imaginary) solutions.

Tags

CCSS.HSA-REI.B.4B

Front

How can you determine the nature of the roots of a quadratic equation using the discriminant?

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You can determine the nature of the roots by evaluating the discriminant: if > 0, two real solutions; if = 0, one real solution; if < 0, no real solutions.

Tags

CCSS.HSA-REI.B.4B

Front

What is the formula for finding the zeros of a quadratic equation?

Back

Tags

CCSS.HSA-REI.B.4B

Front

Back

Tags

CCSS.HSA-REI.B.4B

Front

Back

Tags

CCSS.HSA-REI.B.4B

Front

Back

Tags

CCSS.HSA-REI.B.4B

Front

If a quadratic equation has a discriminant of 25, what can you say about its solutions?

Back

Since the discriminant is positive (25), the quadratic equation has two distinct real solutions.

Tags

CCSS.HSA-REI.B.4B