What is the difference of quadratic inequalities and quadratic equation?

A quadratic equation is a mathematical statement of the form (ax^2 + bx + c = 0), where the goal is to find the values of (x) that satisfy this equation. In contrast, a quadratic inequality involves expressions like (ax^2 + bx + c < 0) or (ax^2 + bx + c \geq 0), where the objective is to determine the ranges of (x) that make the inequality true. Essentially, quadratic equations yield specific solutions, while quadratic inequalities result in intervals of solutions.