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

### Notes

An equation that can be written as bx+c=0 is called a linear equation. It has one unknown, x, and 2 constants, b and c. If this equation were also to include the square of x as an unknown, it would become a quadratic equation. What is a quadratic equation? Any equation that can be written as: ax

^{2} + bx + c = 0, where a, b, and c are constants. X is unknown. A and b are called coefficients. Further, a cannot be equal to zero in the equation ax

^{2}+bx+c=0. If a is 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.

Solving a linear equation is relatively simple. Solving a quadratic equation is more complicated. Fortunately, there are a number of methods for solving quadratic equations. One of the most widely used is the

quadratic formula. The quadratic formula is written:

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, these two roots may be equal, resulting in one solution for x.

Quadratic equations have real-life applications. Quadratic equations are needed to compute answers in many real-world fields, including engineering, pharmacokinetics and business.

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 calculator useful. We encourage you to plug in different values for a, b, and c. 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.

click here for a random example of a quadratic equation.