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:
+ bx + c = 0.
\ In this equation, a, b, and c are constants. X is an unknown. A and b are called coefficients. Interestingly, a cannot equal zero. Otherwise, the equation ceases to be a quadratic equation, and becomes a linear equation.
Finding a solution to a quadratic equation may appear daunting, because both x and x2
are unknown. Fortunately, any quadratic equation can always be solved using the quadratic formula
. Here is the quadratic formula:
Solving a quadratic equation will always result in 2 solutions for x. These solutions are called roots. These roots may both be real numbers or, they may both be complex numbers. Rarely, these two roots may be equal, meaning there will only be one solution for x.
So what? Why do we care about qudratic equations? Quadratic equations are needed to calculate 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.
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 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.