A2 Quadratic Formula and Discriminant

Front

What does the discriminant of a quadratic equation indicate?

Back

The discriminant indicates the nature of the roots of a quadratic equation. If it is positive, there are two real solutions; if it is zero, there is one real solution; if it is negative, there are two imaginary solutions.

Tags

CCSS.HSA-REI.B.4B

Front

What is the quadratic formula?

Back

Tags

CCSS.HSA-REI.B.4B

Front

If the discriminant is negative, what can be said about the solutions of the quadratic equation?

Back

There will be two imaginary solutions.

Tags

CCSS.HSA-REI.B.4B

Front

If the discriminant is positive, what can be said about the solutions of the quadratic equation?

Back

There will be two real solutions.

Tags

CCSS.HSA-REI.B.4B

Front

Back

Tags

CCSS.HSA-REI.B.4B

Front

Back

Tags

CCSS.HSA-REI.B.4B

Front

What is the significance of the term 'imaginary solutions' in quadratic equations?

Back

Imaginary solutions occur when the discriminant is negative, indicating that the quadratic does not intersect the x-axis.

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Front

How do you determine the number of real solutions from the discriminant?

Back

If the discriminant is greater than zero, there are two real solutions; if it is equal to zero, there is one real solution; if it is less than zero, there are no real solutions.

Tags

CCSS.HSA-REI.B.4B

Front

What is the first step in solving a quadratic equation using the quadratic formula?

Back

Tags

CCSS.HSA-REI.B.4B

Front

Back

Tags

CCSS.HSA-REI.B.4B