A free quadratic equation calculator that shows and explains each step in solving your quadratic equation.
A quadratic equation is an function that has the form: ax2
+ bx + c = 0, where x is an unknown. A, b, and c are constants. A and b are referred to as coefficients. It should be noted that a cannot equal 0.
In contrast to solving a linear equation, solving a quadratic equation is a more complicated task. 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 be the same, producing one solution for x.
Quadratic equations are important. Quadratic equations are needed to calculate answers to many real-world problems. The distance before a vehicle can stop once you hit the brakes 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 solver 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 using Quadratic-Equation-Calculator.com.
for a random example of a quadratic equation.