A free quadratic equation calculator that shows and explains each step in solving your quadratic equation.
What is a quadratic equation? Any equation that can take the form:
+ bx + c = 0,
where x is a variable which is not known, and a, b, and c are constants. A and b are called coefficients. Further, a cannot be zero. Otherwise, the equation ceases to be a quadratic equation, and becomes a linear equation.
Compared to solving a linear equation, solving a quadratic equation requires a few more steps. Fortunately, you have this handy-dandy quadratic equation solver. All kidding aside, quadratic equations can be quickly 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. The quadratic formula is written:
Solving a quadratic equation will always result in 2 solutions for x. These solutions are called roots. These roots may both be real numbers or, they may both be complex numbers. Depending on the values of a, b, and c, both roots may be equal, resulting in one solution for x.
Why do we care about qudratic equations? Quadratic equations are needed to compute answers to many real-world problems. The contour of a parablolic dish antenna 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 hope the explanations showing how you can solve the equation yourself are educational and helpful. 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.