A free quadratic equation calculator that shows and explains each step in solving your quadratic equation.
A quadratic equation is any equation that can be written as:
+ bx + c = 0,
where x is unknown. A, b, and c are constants. The constants a and b, are referred to as coefficients. Interestingly, a cannot be equal to 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.
Calculating a solution to a quadratic equation may seem challenging. Fortunately, you have this handy-dandy quadratic equation calculator. All kidding aside, quadratic equations can be reliably solved using the quadratic formula
, which is the same technique used by this quadratic equation calculator. Try it, and it will explain each of the steps to you. 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, these two roots may be equal, meaning there will only be one solution for x.
You may be asking yourself, "Why is this stuff so 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.
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 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.