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 function that can be written as: ax2
+ bx + c = 0, where a, b, and c are constants. X is an unknown. A and b are called coefficients. Interestingly, a cannot be 0 in the equation ax2
Calculating a solution to a quadratic equation may appear daunting, because both x and x2
are unknown. Fortunately, there are a number of methods for solving quadratic equations. One of the most widely used is the quadratic formula
. The quadratic formula is:
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. Depending on the values of a, b, and c, both roots may have the same value, meaning there will only be one solution for x.
Quadratic equations have real-life applications. Quadratic equations are needed to find answers in many real-world fields, including physics, pharmacokinetics and architecture.
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 encourage you to try it with different values, and to read the explanation for how to reach your answer. But we totally understand if you just want to use it to find the answers you're looking for. Thank you for using Quadratic-Equation-Calculator.com.
for a random example of a quadratic equation.