A free quadratic equation calculator that shows and explains each step in solving your quadratic equation.
A quadratic equation is any equation ax2
+ 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 be zero.
Solving a linear equation is relatively straightforward. Solving a quadratic equation is not as straightforward. However, any quadratic equation can quickly be solved using the quadratic formula
. 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, the two roots may have the same value, producing one solution for x.
Why do we need to be able to solve quadratic equations? Quadratic equations are needed to calculate answers to many real-world problems. For example, to calculate whether a braking car can stop fast enough to avoid hitting something would require the use of s quadratic equation.
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 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.