FLASHCARD: Quadratic Formula & Discriminant

Front

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

Back

There will be two real solutions.

Front

What is the quadratic formula?

Back

Front

How do you determine the number and type of solutions using the discriminant?

Back

Evaluate the discriminant (D = b^2 - 4ac): If D > 0, two real solutions; D = 0, one real solution; D < 0, two imaginary solutions.

Front

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

Back

There will be one real solution.

Front

Back

Front

Back

The discriminant is -7, indicating two imaginary solutions.

Front

Back

Front

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

Back

There will be two imaginary solutions.

Front

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

Back

Front

How can you check if a solution to a quadratic equation is correct?

Back

Substitute the solution back into the original equation to see if it holds true.