A free quadratic equation calculator that shows and explains each step in solving your quadratic equation.
A quadratic equation is any function ax2
+ bx + c = 0. In this equation, a, b, and c are constants. X is unknown. The constants a and b are called coefficients. Also, 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.
Calculating a solution to a quadratic equation can seem challenging. 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. Here 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, these two roots may be equal, resulting in one solution for x.
So what? Why do we care about qudratic equations? 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.
The quadratic formula has been known for centuries. Brahmagupta, a mathematician from India, first described the quadratic formula as a means to calculate solutions to quadratic equations in the 7th Century AD.
We hope you find this quadratic equation calculator useful. We encourage you to plug in different values for a, b, and c. But we totally understand if you just want to use it to find the answers you're looking for. Thank you for your interest in Quadratic-Equation-Calculator.com.
for a random example of a quadratic equation.