A free quadratic equation calculator that shows and explains each step in solving your quadratic equation.
A quadratic equation is any function that can be written as: ax2
+ bx + c = 0, where x is a variable which is not known. A, b, and c are constants. A and b are called coefficients. Interestingly, a cannot be 0. Otherwise, the equation ceases to be a quadratic equation, and becomes a linear equation.
Solving a linear equation is straightforward. Solving a quadratic equation requires more work. Fortunately, you have this handy-dandy quadratic equation solver. All kidding aside, quadratic equations can be quickly solved using the quadratic formula
, which is the same technique used by this quadratic equation solver. Try it, and it will explain each of the steps to you. Here is the quadratic formula:
Solving a quadratic equation will always result in 2 solutions for x. These solutions are called roots. These roots may both be real numbers or, they may both be complex numbers. Depending on the values of a, b, and c, both roots may be equal, producing one solution for x.
You may be asking yourself, "Why is this stuff so important?" Quadratic equations are needed to calculate answers to many real-world problems. The geometry of a parablolic mirror is one example of an application of quadratic equations.
In our equation, a cannot be zero. However, b can be zero, and so can c.
We hope you find this quadratic equation solver useful. We encourage you to try it with different values, and to read the explanation for how to reach your answer. But, if you just want to use it to calculate the answers to your quadratic equations, that's cool too. Thank you for using Quadratic-Equation-Calculator.com.
for a random example of a quadratic equation.