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 equation that can take the form: ax2
+ bx + c = 0. In this equation, x is an unknown. A, b, and c are constants. The constants a and b, are referred to as coefficients. Interestingly, a cannot be 0 in the equation ax2
Calculating a solution to a quadratic equation may appear daunting, because both x and x2
are unknown. 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:
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. Depending on the values of a, b, and c, both roots may equal each other, resulting in one solution for x.
Quadratic equations have real-life applications. Quadratic equations are needed to find answers in many real-world fields, including engineering, biology and business.
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 encourage you to try it with different values, and to read the explanation for how to reach your answer. 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.