A free quadratic equation calculator that shows and explains each step in solving your quadratic equation.
What is a quadratic equation? Any function that can be written as: ax2
+ bx + c = 0. In this equation, a, b, and c are constants. X is an unknown. A and b are called coefficients. Interestingly, a cannot equal to 0. Otherwise, the equation ceases to be a quadratic equation, and becomes a linear equation.
Solving a linear equation is rather basic. Solving a quadratic equation is not as simple. 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. Rarely, these two roots may be the same, resulting in one solution for x.
There are many uses for quadratic equations. Quadratic equations are needed to find answers to many real-world problems. The laws of motion is one example of an application of quadratic equations.
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 hope you find this quadratic equation calculator useful. We hope the explanations showing how you can solve the equation yourself are educational and helpful. 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.
for a random example of a quadratic equation.