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 that can be written in the form:
+ bx + c = 0,
where x is unknown, and a, b, and c are constants. A and b are called coefficients. Also, it is worth noting that a cannot equal to 0. If a is equal to 0, then ax2
=0, and the equation becomes 0+bx+c=0, or bx+c=0. The equation bx+c=0 is a linear equation, and not a quadratic equation.
Solving a linear equation is pretty basic. Solving a quadratic equation is less straightforward. However, you have this handy-dandy quadratic equation calculator. All kidding aside, quadratic equations can be always solved using the quadratic formula
, which is the same technique used by this quadratic equation calculator. Try it, and it will explain each of the steps to you. The quadratic formula is:
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. Rarely, these two roots may be the same, resulting in one solution for x.
Who cares? Why do we care about qudratic equations? Quadratic equations are needed to calculate answers in many real-world fields, including engineering, pharmacokinetics and business.
The quadratic formula has been known for centuries. Brahmagupta, a mathematician from India, first described the quadratic formula as a means to calculate solutions to quadratic equations in the 7th Century AD.
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.