Quadratic-Equation Solver
Solve any "Quadratic equation" instantly
A quadratic equation is a second-degree polynomial equation with just a single variable.
It is one of the most fundamental concepts in algebra and is used to describe various phenomena in physics, engineering, and economics.
A quadratic equation is defined by its squared term (x2). It typically has two solutions, which can make it tricky to solve, and its graph is a parabola.
(Show/Hide Usage & Real-World Applications)
Quadratic equations are used to model situations involving:
Projectile Motion:
Calculating the trajectory of a ball, rocket, or water fountain.Area Optimization:
Finding the maximum area of a rectangular space given a fixed amount of fencing.Business:
Calculating "Profit = Revenue - Cost" often results in a quadratic equation where the vertex represents the maximum profit.Physics:
Calculating acceleration and stopping distances for vehicles.
More Information
Enter a value for each of the three inputs, then click the 'Calculate' button for instant results.
Basic Formula:
What the variables mean:
x: The value(s) to be found
a: Multiplier of x squared
b: Simple multiplier of x
c: Constant