A free quadratic equation calculator that shows and explains each step in solving your quadratic equation.
A quadratic equation is any function that takes the form:
+ bx + c = 0.
\ In this equation, a, b, and c are constants. X is unknown. The constants a and b are called coefficients. Further, a cannot equal zero in the equation ax2
+bx+c=0. Otherwise, the equation ceases to be a quadratic equation, and becomes a linear equation.
Solving a linear equation is fairly basic. Solving a quadratic equation requires more work. However, you have this handy-dandy quadratic equation solver. All kidding aside, quadratic equations can be reliably solved using the quadratic formula
, which is the same technique used by this quadratic equation solver. Try it, and it will explain each of the steps to you. 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. Under extraordinary circumstances, both roots may be the same, producing one solution for x.
You may be asking yourself, "Why is this stuff so important?" Quadratic equations are needed to calculate answers in many real-world fields, including physics, biology and architecture.
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 solver useful. 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.