Quadratic Formula

Front

What is the Quadratic Formula?

Back

The Quadratic Formula is used to find the solutions of a quadratic equation in the form ax² + bx + c = 0. It is given by x = (-b ± √(b² - 4ac)) / (2a).

Tags

CCSS.HSA-REI.B.4B

Front

What does the discriminant tell us?

Back

The discriminant (D) is the part of the quadratic formula under the square root: D = b² - 4ac. It indicates the nature of the roots of the quadratic equation.

Tags

CCSS.HSA-REI.B.4B

Front

What does a positive discriminant indicate?

Back

A positive discriminant indicates that the quadratic equation has two distinct real solutions.

Tags

CCSS.HSA-REI.B.4B

Front

What does a discriminant of zero indicate?

Back

A discriminant of zero indicates that the quadratic equation has exactly one real solution (a repeated root).

Tags

CCSS.HSA-REI.B.4B

Front

What does a negative discriminant indicate?

Back

A negative discriminant indicates that the quadratic equation has no real solutions, but two complex solutions.

Tags

CCSS.HSA-REI.B.4B

Front

Solve using the Quadratic Formula: 2x² + 7x - 15 = 0

Back

x = -5, 1.5

Tags

CCSS.HSA-REI.B.4B

Front

What is the value of the discriminant for the equation 4x² + 6x - 4 = 0?

Back

The discriminant is 100, indicating 2 solutions.

Tags

CCSS.HSA-REI.B.4B

Front

Calculate the discriminant for the equation x² - 4x + 4 = 0.

Back

The discriminant is 0, indicating 1 real solution.

Tags

CCSS.HSA-REI.B.4B

Front

If a quadratic equation has a discriminant of 28, how many solutions does it have?

Back

It has 2 real solutions.

Tags

CCSS.HSA-REI.B.4B

Front

What is the formula for the discriminant?

Back

The formula for the discriminant is D = b² - 4ac.

Tags

CCSS.HSA-REI.B.4B