A free quadratic equation calculator that shows and explains each step in solving your quadratic equation.
A quadratic equation is any equation that has the form: ax2
+ bx + c = 0, where x is a variable which is not known. A, b, and c are constants. The constants a and b are called coefficients. It should be pointed out that a cannot be equal to 0. Otherwise, the equation ceases to be a quadratic equation, and becomes a linear equation.
Finding a solution to a quadratic equation can appear daunting. However, any quadratic equation can reliably be solved using the quadratic formula
. This 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. Rarely, the two roots may be equal, meaning there will only be one solution for x.
Quadratic equations have real-life applications. Quadratic equations are needed to calculate answers to many real-world problems. For example, to compute 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 x2
(x squared) is what makes this equation quadratic.
We this quadratic equation calculator is useful to you. 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.
for a random example of a quadratic equation.