A free quadratic equation calculator that shows and explains each step in solving your quadratic equation.
A quadratic equation is an equation that can take the form: ax2
+ bx + c = 0, where x is unknown, and a, b, and c are constants. A and b are referred to as coefficients. Additionally, it should be mentioned that a cannot equal zero in the equation ax2
+bx+c=0. Otherwise, the equation ceases to be a quadratic equation, and becomes a linear equation.
Solving a linear equation is straightforward. Solving a quadratic equation requires some more advanced mathematics. Fortunately, 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. The quadratic formula is:
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, both roots may be the same, resulting in one solution for x.
Quadratic equations are important. Quadratic equations are needed to calculate answers in many real-world fields, including physics, pharmacokinetics and architecture.
In our equation, a cannot be zero. However, b can be zero, and so can c.
We this quadratic equation calculator is useful to you. We encourage you to try it with different values, and to read the explanation for how to reach your answer. But we totally understand if you just want to use it to find the answers you're looking for. Thank you for using Quadratic-Equation-Calculator.com.
for a random example of a quadratic equation.