A free quadratic equation calculator that shows and explains each step in solving your quadratic equation.
What is a quadratic equation? A quadratic equation is an function that takes the form:
+ bx + c = 0,
where a, b, and c are constants. X is unknown. The constants a and b, are referred to as coefficients. Interestingly, a cannot be equal to 0 in the equation ax2
Calculating a solution to a quadratic equation may appear daunting, because both x and x2
are unknown. Fortunately, you have this handy-dandy quadratic equation solver. All kidding aside, quadratic equations can be quickly 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:
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. Rarely, the two roots may be the same, producing 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. For example, to calculate the path of an accelerating object would require the use of s quadratic equation.
In our equation, a cannot be zero. However, b can be zero, and so can c.
We hope you find this quadratic equation solver useful. We hope the explanations showing how you can solve the equation yourself are educational and helpful. But, if you just want to use it to calculate the answers to your quadratic equations, that's cool too. Thank you for using Quadratic-Equation-Calculator.com.
for a random example of a quadratic equation.