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? Any equation that takes the form: ax2
+ bx + c = 0, where x is a variable which is not known, and a, b, and c are constants. A and b are referred to as coefficients. It is worth noting that a cannot be equal to 0. Otherwise, the equation ceases to be a quadratic equation, and becomes a linear equation.
Finding a solution to a quadratic equation may appear daunting. However, there are a number of methods for solving quadratic equations. One of the most widely used is the quadratic formula
. This is the quadratic formula:
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 be equal, meaning there will only be one solution for x.
Quadratic equations are important. Quadratic equations are needed to compute answers to many real-world problems. The geometry of a parablolic dish antenna 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 this quadratic equation solver is useful to you. 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 your interest in Quadratic-Equation-Calculator.com.
for a random example of a quadratic equation.