5.6-5.7 Quadratic Formula/Complete Square (Lee 24-25)

Front

What is the Quadratic Formula?

Back

Front

What does completing the square mean?

Back

Completing the square is a method used to convert a quadratic equation into a perfect square trinomial, making it easier to solve.

Front

What is the standard form of a quadratic equation?

Back

Front

What is the value of the discriminant?

Back

Front

What does a positive discriminant indicate?

Back

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

Front

What does a zero discriminant indicate?

Back

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

Front

What does a negative discriminant indicate?

Back

A negative discriminant indicates that the quadratic equation has no real solutions (the solutions are complex).

Front

How do you find the new C-term when completing the square?

Back

Front

Identify a, b, and c in the equation: 4x^2 - 8x - 3 = 0.

Back

In the equation 4x^2 - 8x - 3 = 0, a = 4, b = -8, c = -3.

Front

What is the first step in completing the square for the equation x^2 - 12x + 23 = 0?

Back

The first step is to move the constant term to the other side: x^2 - 12x = -23.