Unit 3 Lesson 16-18 Practice

Front

What is the Discriminant in a quadratic equation?

Back

Tags

CCSS.HSA-REI.B.4B

Front

How do you determine the number of real roots of a quadratic equation?

Back

To determine the number of real roots of a quadratic equation, calculate the Discriminant (D). If D > 0, there are 2 real roots. If D = 0, there is exactly 1 real root. If D < 0, there are no real roots.

Tags

CCSS.HSA-REI.B.4B

Front

What does it mean if a quadratic equation has no real roots?

Back

If a quadratic equation has no real roots, it means that the graph of the equation does not intersect the x-axis. This occurs when the Discriminant is less than zero (D < 0).

Tags

CCSS.HSA-REI.B.4B

Front

Back

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Front

What is the significance of a negative Discriminant?

Back

A negative Discriminant indicates that the quadratic equation has no real roots, meaning the solutions are complex or imaginary numbers.

Tags

CCSS.HSA-REI.B.4B

Front

Back

Tags

CCSS.HSA-REI.B.4B

Front

What is the formula for the Discriminant?

Back

Tags

CCSS.HSA-REI.B.4B

Front

If the Discriminant is 36, how many real roots does the quadratic equation have?

Back

If the Discriminant is 36, the quadratic equation has 2 real roots, since D > 0.

Tags

CCSS.HSA-REI.B.4B

Front

What are complex roots?

Back

Tags

CCSS.HSN.CN.A.3

Front

Back

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7