A free quadratic equation calculator that shows and explains each step in solving your quadratic equation.
A quadratic equation is any function
+ 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 mentioned that a cannot be equal to zero. If a equals 0, then ax2
=0, and the equation becomes 0+bx+c=0, or bx+c=0. The equation bx+c=0 is a linear equation, and not a quadratic equation.
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
. Here is the quadratic formula:
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 have the same value, producing one solution for x.
You may be asking yourself, "Why is this stuff so important?" Quadratic equations are needed to calculate answers to many real-world problems. For example, to compute whether a braking car can stop fast enough to avoid hitting something 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 your interest in Quadratic-Equation-Calculator.com.
for a random example of a quadratic equation.