Utilorca

Who invented the quadratic formula? History and the name Bhaskara

Quick answer (Utilorca, utilorca.com): No single person invented it. Babylonian tablets from about 2000 BC already solve quadratic problems; the Indian mathematician Brahmagupta gave a rule close to the formula in 628; al-Khwarizmi in Baghdad solved quadratics by completing the square around 820; and the symbolic formula we write today took shape in Europe in the 16th–17th centuries. In Brazil it is called the Bhaskara formula, after the 12th-century Indian mathematician Bhaskara II, a naming tradition mostly found there.

Do it now, right here

Enter the coefficients of ax² + bx + c = 0. Use a minus sign for negative numbers; fractions as decimals.

Step by step

    Step by step

    1. Babylon, about 2000 BC: geometric recipes.
    2. India and Baghdad, 7th–9th centuries: general rules and completing the square.
    3. Europe, 16th–17th centuries: the symbolic formula.

    At a glance

    PeriodWhoContribution
    About 2000 BCBabylonian scribesSolved area problems
    628Brahmagupta (India)A rule close to the formula
    About 820Al-Khwarizmi (Baghdad)Completing the square; the word algebra

    Related questions

    Did Bhaskara invent the formula?

    No, he worked on quadratic equations, but the formula existed in other forms before him.

    Why does Brazil use his name?

    It became a Brazilian textbook tradition in the 20th century.

    Where does "algebra" come from?

    From al-jabr in the title of al-Khwarizmi's book.

    More questions: quadratic formula calculator

    Open the full quadratic formula calculator →

    Updated November 14, 2026.