Quadratic Formula

Front

What is the quadratic formula?

Back

Front

What is the standard form of a quadratic equation?

Back

Front

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

Back

a = 4, b = -8, c = -3.

Front

How do you convert the equation 5x^2 + x - 18 = -9x + 3x^2 into standard form?

Back

Combine like terms to get: 2x^2 + 10x - 18 = 0.

Front

What is the discriminant in the quadratic formula?

Back

Front

What does a positive discriminant indicate?

Back

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

Front

What does a zero discriminant indicate?

Back

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

Front

What does a negative discriminant indicate?

Back

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

Front

Solve using the Quadratic Formula: x^2 + 4x + 3 = 0.

Back

x = -1 and x = -3.

Front

What is the vertex form of a quadratic equation?

Back