A-Solving Quadratics Using Quadratic Formula

Front

What is the quadratic formula?

Back

Front

What are the values of a, b, and c in the equation 2x^2 - 14x + 23 = 0?

Back

In the equation 2x^2 - 14x + 23 = 0, the values are: a = 2, b = -14, c = 23.

Front

How do you determine the discriminant of a quadratic equation?

Back

Front

What does a positive discriminant indicate?

Back

A positive discriminant (D > 0) indicates that the quadratic equation has two distinct real roots.

Front

What does a zero discriminant indicate?

Back

A zero discriminant (D = 0) indicates that the quadratic equation has exactly one real root (a repeated root).

Front

What does a negative discriminant indicate?

Back

A negative discriminant (D < 0) indicates that the quadratic equation has no real roots, but two complex roots.

Front

Solve using the quadratic formula: 2x^2 - 9x = 35.

Back

Rearranging gives 2x^2 - 9x - 35 = 0. Using the quadratic formula, the solutions are x = -5/2 and x = 7.

Front

Solve using the quadratic formula: 2x^2 - 8x = 0.

Back

Factoring gives 2x(x - 4) = 0. The solutions are x = 0 and x = 4.

Front

What is the first step in solving a quadratic equation using the quadratic formula?

Back

Front

How do you apply the quadratic formula to the equation x^2 - 5x - 14 = 0?

Back