The quadratic equation is an equation of the form ax2 + bx + c = 0, where a, b, and c are numbers. It has roots at x = (-b ± √(b2 - 4ac))/(2a). These roots could be distinct, equal, real, or imaginary.
Quadratic equations are one of the most important and most commonly used equations in mathematics and can be found in many fields such as physics, engineering, finance, economics, and chemistry.
Quadratic equations are quite common in mathematics and physics applications because both fields often deal with motion models that produce quadratic expressions.Quadratic equations are also utilized in solving a variety of problems, especially those with an exponential component. The equation can be used to find the roots of a function, for example to find the intersection point between the graph and the x-axis.
In general, understanding the concept of a quadratic equation, and its formula, is a useful to know when you are faced with problems involving the following:
- finding the roots of a quadratic equation;
- graphing inequalities;
- finding the vertex of the parabola;
- solving equations for x and y, and
- solving systems of equations.