A free quadratic equation calculator that shows and explains each step in solving your quadratic equation.
A quadratic equation is any function
+ bx + c = 0.
\ In this equation, x is unknown. A, b, and c are constants. The constants a and b are called coefficients. Also, a cannot equal zero. If a=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 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. Rarely, these two roots may be the same, meaning there will only be one solution for x.
Quadratic equations have real-life applications. Quadratic equations are needed to find answers to many real-world problems. The acceleration of an object as it falls to earth 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 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.