quadratic formula

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation.

Front

Identify the values of a, b, and c in the equation 4x² - 8x - 3 = 0.

Back

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

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is given by b² - 4ac and determines the nature of the roots.

Front

What does a positive discriminant indicate?

Back

A positive discriminant indicates that there are two distinct real roots.

Front

What does a zero discriminant indicate?

Back

A zero discriminant indicates that there is exactly one real root (a repeated root).

Front

What does a negative discriminant indicate?

Back

A negative discriminant indicates that there are no real roots, only complex roots.

Front

Identify the values of A, B, and C in the equation 11r² + 6r - 6 = 0.

Back

A = 11, B = 6, C = -6.

Front

What are the x-intercepts of a quadratic function?

Back

The x-intercepts are the points where the graph of the function crosses the x-axis, found by setting y = 0.

Front

How do you find the vertex of a quadratic function?

Back

The vertex can be found using the formula (-b/(2a), f(-b/(2a))).

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax² + bx + c = 0.