A free quadratic equation calculator that shows and explains each step in solving your quadratic equation.
A quadratic equation is an function ax2
+ bx + c = 0. In this equation, a, b, and c are constants. X is unknown. The constants a and b are called coefficients. Also, a cannot be equal to 0 in the equation ax2
+bx+c=0. Otherwise, the equation ceases to be a quadratic equation, and becomes a linear equation.
Compared to solving a linear equation, solving a quadratic equation is a more complicated task. Fortunately, any quadratic equation can always be solved using 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. Depending on the values of a, b, and c, both roots may have the same value, resulting in 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. The acceleration of an object as it falls to earth 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 encourage you to plug in different values for a, b, and c. 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.