A free quadratic equation calculator that shows and explains each step in solving your quadratic equation.
An equation that can be written as bx+c=0 is called a linear equation. It has one unknown, x, and 2 constants, b and c. If this equation were also to include the square of x as an unknown, it would become a quadratic equation. What is a quadratic equation? A quadratic equation is an function that can take the form: ax2
+ bx + c = 0. In this equation, x is a variable which is not known. A, b, and c are constants. The constants a and b are called coefficients. Additionally, it should be mentioned that a cannot equal zero in the equation ax2
In contrast to solving a linear equation, solving a quadratic equation requires a few more steps. However, you have this handy-dandy quadratic equation calculator. Acutally, quadratic equations can be readily 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. This is the quadratic formula:
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, both roots may be equal, resulting in one solution for x.
Quadratic equations are 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.
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 calculator useful. We encourage you to plug in different values for a, b, and c. 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.