A free quadratic equation calculator that shows and explains each step in solving your quadratic equation.
A quadratic equation is any function that can be written in the form: ax2
+ bx + c = 0, where a, b, and c are constants. X is a variable which is not known. A and b are called coefficients. Interestingly, a cannot be zero. If a is equal to 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.
Solving a linear equation is relatively basic. Solving a quadratic equation requires more work. 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. Depending on the values of a, b, and c, both roots may equal each other, resulting in one solution for x.
Quadratic equations are important. Quadratic equations are needed to find answers to many real-world problems. For example, to calculate how an object will rise and fall due to Earth's gravity 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 solver 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.