A free quadratic equation calculator that shows and explains each step in solving your quadratic equation.

### Notes

What is a quadratic equation? Any function that can take the form: ax

^{2} + bx + c = 0. In this equation, x is an unknown, and a, b, and c are constants. The constants a and b are called coefficients. It should be pointed out that a cannot equal to 0. If a is equal to 0, then ax

^{2}=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.

In contrast to solving a linear equation, solving a quadratic equation requires a few more steps. However, there are a number of methods for solving quadratic equations. One of the most widely used is the

quadratic formula. 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. Under extraordinary circumstances, both roots may equal each other, producing one solution for x.

You may be asking yourself, "Why is this stuff so important?" Quadratic equations are needed to compute answers to many real-world problems. For example, to calculate the path of an accelerating object would require the use of s quadratic equation.

The term "quadratic" comes from the Latin word

*quadratum,* which means "square." Why? Because what defines a quadratic equation is the inclusion of some variable squared. In our equation above, the term x

^{2} (x squared) is what makes this equation quadratic.

We this quadratic equation solver is useful to you. We encourage you to plug in different values for a, b, and c. But we totally understand if you just want to use it to find the answers you're looking for. Thank you for your interest in Quadratic-Equation-Calculator.com.

click here for a random example of a quadratic equation.