A free quadratic equation calculator that shows and explains each step in solving your quadratic equation.
What is a quadratic equation? A quadratic equation is an function
+ bx + c = 0,
where x is a variable which is not known, and a, b, and c are constants. A and b are called coefficients. Further, a cannot equal to zero. Otherwise, the equation ceases to be a quadratic equation, and becomes a linear equation.
Solving a linear equation is fairly straightforward. Solving a quadratic equation is less straightforward. 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. This is the quadratic formula:
When you compute a solution to a quadratic equation, you will always find 2 values for x, 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, the two roots may have the same value, producing one solution for x.
There are many uses for quadratic equations. Quadratic equations are needed to compute answers to many real-world problems. The geometry of a parablolic mirror is one example of an application of quadratic equations.
The quadratic equation calculator on this website uses the
quadratic formula to solve your quadratic equations, and this is a reliable and relatively simple way to do it. But there are other ways to solve a quadratic equation, such as completing the square or factoring.
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 we totally understand if you just want to use it to find the answers you're looking for. Thank you for using Quadratic-Equation-Calculator.com.
for a random example of a quadratic equation.