What is the Quadratic formula used to find?

The Quadratic formula is specifically designed to find the roots of a quadratic equation, which is any equation that can be expressed in the standard form ax² + bx + c = 0, where a, b, and c are constants and a is not zero. The roots refer to the values of x that satisfy the equation, meaning they are the points where the parabola defined by the quadratic equation intersects the x-axis.

When using the Quadratic formula, given by x = (-b ± √(b² - 4ac)) / (2a), you can derive the values of x that solve the equation. This formula is especially useful when the quadratic cannot be easily factored. The discriminant (b² - 4ac) also provides insight into the nature of the roots, indicating whether they are real or complex.

The other contexts mentioned, such as the slope of a line, the area of a triangle, or evaluating the value of a function at a certain point, involve different mathematical concepts and formulas that do not apply to the specific task of finding the roots of a quadratic equation.