A free quadratic equation calculator that shows and explains each step in solving your quadratic equation.
A quadratic equation is any function ax2
+ bx + c = 0. In this equation, x is unknown, and a, b, and c are constants. The constants a and b are called coefficients. Further, it should be noted that a cannot equal 0. Otherwise, the equation ceases to be a quadratic equation, and becomes a linear equation.
Solving a linear equation is rather straightforward. Solving a quadratic equation is less simple. However, there are a number of methods for solving quadratic equations. One of the most widely used is the quadratic formula
. The quadratic formula is:
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. Under extraordinary circumstances, these two roots may be the same, resulting in one solution for x.
Quadratic equations are important. Quadratic equations are needed to find answers to many real-world problems. The geometry of a parablolic dish antenna is one example of an application of quadratic equations.
The quadratic formula has been known for centuries. Brahmagupta, a mathematician from India, first described the quadratic formula as a means to calculate solutions to quadratic equations in the 7th Century AD.
We this quadratic equation solver is useful to you. 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 your interest in Quadratic-Equation-Calculator.com.
for a random example of a quadratic equation.