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 any equation that can take the form: ax2
+ bx + c = 0, where a, b, and c are constants. X is an unknown. A and b are referred to as coefficients. Also, it should be mentioned that a cannot equal zero in the equation ax2
Calculating a solution to a quadratic equation can seem daunting. Fortunately, you have this handy-dandy quadratic equation calculator. Acutally, 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 written:
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, the two 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 engineering, pharmacokinetics and architecture.
As mentioned above, in the equation ax2
+bx+c=0, a cannot be zero. If a were 0, then ax2
= 0 for any value of x, so our equation becomes 0 + bx + c = 0, which is the same as bx + c = 0, which is no longer a quadratic equation. In fact, bx + c = 0 is a linear equation, which is much simpler to solve than a quadratic equation.
We hope you find this quadratic equation solver 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 using Quadratic-Equation-Calculator.com.
for a random example of a quadratic equation.