Quadratic Formula Calculator

Enter the variables, b, a, and c to calculate X in the quadratic formula. The result will display both values if more than one exists.

Quadratic Formula

In algebra, the quadratic formula is the solution to the quadratic equation. The quadratic equation is:

{\displaystyle ax^{2}+bx+c=0\ \ .}

Solving for X brings us to:

How to calculate the quadratic equation?

The solutions given by this equation are general referred to as the roots. In geometric terms this is the location at which the points on the curve: y=ax^2+bx+c, crosses the x-axis.

This equation is one of the most elementary formulas in algebra, but that does not mean it’s not important. It’s the basis for much more complicated math. This formula can be derived from “completing the square’.

Quadratic Formula Calculator
Quadratic Equation Solver

In history, the earliest methods for solving this equation for explored as early as 2000 BC by the Egyptians and Babylonians, but was explored all over the world at different dates in history. Around 300 BC, a Greek mathematician, Euclid, used geometric methods to solve this equation.

Example Problem

We will now take a look at an example of how to solve the quadratic equation. This is also known as a quadratic equation solver or solving for the quadratic root.

First, from standard to vertex form, we need to grab the variables a, b, and c. Next, we enter those values into the formula from above. For this example we will assume the values are 1,2, and 1 respectively. .

Using the equation above yields the result of X= -1, 1.

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