Quadratic formula and discriminant

Front

What is the quadratic formula?

Back

Tags

CCSS.HSA-REI.B.4B

Front

What are the solutions of a quadratic equation also called?

Back

The solutions of a quadratic equation are also called roots, x-intercepts, or zeros.

Tags

CCSS.HSA-REI.B.4B

Front

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

Back

If the discriminant is -2, there are no 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 there are no real solutions, only complex solutions.

Tags

CCSS.HSA-REI.B.4B

Front

What is the value of the discriminant for the equation -2x^2 - x - 1 = 0?

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The value of the discriminant is -7.

Tags

CCSS.HSA-REI.B.4B

Front

What is the discriminant of a quadratic equation?

Back

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 there are two distinct real solutions.

Tags

CCSS.HSA-REI.B.4B

Front

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

Back

A discriminant of zero indicates that there is exactly one real solution, also known as a repeated root.

Tags

CCSS.HSA-REI.B.4B

Front

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

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

Tags

CCSS.HSA-REI.B.4B

Front

What is the significance of the coefficients a, b, and c in the quadratic formula?

Back

Tags

CCSS.HSA-REI.B.4B