A free quadratic equation calculator that shows and explains each step in solving your quadratic equation.
A quadratic equation is an equation
+ bx + c = 0,
where x is a variable of unknown value. A, b, and c are constants. A and b are referred to as coefficients. Additionally, it is worth noting that a cannot equal zero in the equation ax2
+bx+c=0. If a=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.
Finding a solution to a quadratic equation may seem challenging. However, you have this handy-dandy quadratic equation solver. Acutally, quadratic equations can be readily solved using the quadratic formula
, which is the same technique used by this quadratic equation solver. Try it, and it will explain each of the steps to you. This is the quadratic formula:
Since there are always 2 solutions to a square root (one negative, one positive), solving the quadratic equation results in 2 values for x. The two solutions for x (which may be positive or negative, real or complex) are called roots. Under extraordinary circumstances, these two roots may equal each other, meaning there will only be one solution for x.
Why do we need to be able to solve quadratic equations? Quadratic equations are needed to find 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 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 hope you find this quadratic equation calculator useful. We encourage you to try it with different values, and to read the explanation for how to reach your answer. 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.