A free quadratic equation calculator that shows and explains each step in solving your quadratic equation.
What is a quadratic equation? Any function that can be written in the form: ax2
+ bx + c = 0. In this equation, a, b, and c are constants. X is unknown. The constants a and b are called coefficients. Interestingly, a cannot be equal to 0. If a is 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.
Compared to solving a linear equation, solving a quadratic equation requires some more advanced mathematics.. 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:
Solving a quadratic equation will always result in 2 solutions for x. These solutions are 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, these two roots may be the same, meaning there will only be one solution for x.
Quadratic equations are important. Quadratic equations are needed to calculate answers to many real-world problems. The geometry of a parablolic dish antenna is one example of an application of quadratic equations.
The quadratic equation calculator on this website uses the
quadratic formula to solve your quadratic equations, and this is a reliable and relatively simple way to do it. But there are other ways to solve a quadratic equation, such as completing the square or factoring.
We this quadratic equation calculator is useful to you. 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.