A free quadratic equation calculator that shows and explains each step in solving your quadratic equation.
What is a quadratic equation? Any equation that can be written in the form: ax2
+ bx + c = 0. In this equation, a, b, and c are constants. X is a variable which is not known. The constants a and b are called coefficients. Also, it is worth pointing out 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.
In contrast to solving a linear equation, solving a quadratic equation is a more complicated task. Fortunately, you have this handy-dandy quadratic equation solver. Acutally, 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:
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. Rarely, these two roots may equal each other, resulting in one solution for x.
Quadratic equations are important. Quadratic equations are needed to compute answers in many real-world fields, including engineering, biology and business.
In our equation, a cannot be zero. However, b can be zero, and so can c.
We this quadratic equation solver 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, 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.