![]() The quadratic formula can be seen in the box below. The variable a is called the quadratic coefficient, the variable b is called the linear coefficient, and the variable c is called the constant term. The three variables required to solve an equation with the quadratic formula are known as constants and they are represented by the letters a, b, and c. ![]() Lastly, René Descartes was the first to publish the quadratic formula, in the form we that know today, in the year 1637. The evolution of the quadratic formula passed through the minds and hands of several notable and brilliant mathematicians including: Euclid of Alexandria, Pythagoras of Samos, Diophantus of Alexandria, Muhammad ibn Musa al-Khwarizmi, Abraham bar Hiyya Ha-Nasi, Yang Hui, and Gerolamo Cardano. However, the actual quadratic formula wasn’t discovered until far later in time. The history of solving quadratic equations dates as far back as the Babylonian’s in 2000 BC. The word quadratic is derived from the Latin word quadrates, which means square. In algebra, a quadratic equation is an algebraic polynomial equation. After running your calculation, you will be presented with Solution 1, Solution 2, and the equation discriminant. ![]() To use this quadratic equation calculator, simply enter the values for the three variables a, b, and c, and click Calculate. Our quadratic equation solver uses the quadratic formula to find all possible solutions any equation in the form of ax 2 + bx + c = 0. 2x + 2 x2 + xx2 x 2 0 (rearranging the terms) The resultant quadratic equation can be solved using either the quadratic formula method or through factorization. Quadratic equations can be solved by using any one of the following methodologies: factoring, completing the square, graphing, Newton’s method, and using the quadratic formula. Step 1: Substitute the value of y in equation 2, the result is a linear equation with x as the only variable.
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