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 equation that has 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 should be pointed out that a cannot be equal to zero in the equation ax2
+bx+c=0. If a equals 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.
Solving a linear equation is pretty simple. Solving a quadratic equation requires some more advanced mathematics. However, you have this handy-dandy quadratic equation calculator. Acutally, quadratic equations can be always 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. Under extraordinary circumstances, these two roots may be equal, meaning there will only be one solution for x.
Quadratic equations are an important part of mathematics. Quadratic equations are needed to find answers to many real-world problems. The distance before a vehicle can stop once you hit the brakes is one example of an application of quadratic equations.
In our equation, a cannot be zero. However, b can be zero, and so can c.
We hope you find this quadratic equation calculator 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.