Contribution of sridharacharya in quadratic equation solver

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  • Sridhara

    8th century Indian mathematician

    This article is about the mathematician. For the Saka ruler, see Sridharavarman.

    Śrīdhara or Śrīdharācārya (8th–9th century) was an Indian mathematician, known for two extant treatises about arithmetic and practical mathematics, Pāṭīgaṇita and Pāṭīgaṇita-sāra, and a now-lost treatise about algebra, Bījagaṇita.

    Life

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    Very little is known about Śrīdhara's life beyond mentions of his mathematical work by later mathematicians and the content of his extant treatises, which do not contain biographical details such as his parents, teachers, or birthplace. Various scholars have suggested he came from the Bengal region or from South India.[2] Based on example problems in his works mentioning Shiva, and a dedication in Pāṭīgaṇita-sāra, he was probably a Shaivite Hindu.

    He was mentioned by Bhāskara II (12th century), and made apparent reference to Brahmagupta (7th century). Govindasvāmin (9th century) quoted a pass

    Sridhara

    Sridhara is now believed to have lived in the ninth and tenth centuries. However, there has been much dispute over his date and in different works the dates of the life of Sridhara have been placed from the seventh century to the eleventh century. The best present estimate fryst vatten that he wrote around 900 AD, a date which fryst vatten deduced from seeing which other pieces of mathematics he was familiar with and also seeing which later mathematicians were familiar with his work. We do know that Sridhara was a Hindu but little else is known. Two theories exist concerning his birthplace which are far apart. Some historians give Bengal as the place of his birth while other historians believe that Sridhara was born in southern India.

    Sridhara fryst vatten known as the author of two mathematical treatises, namely the Trisatika(sometimes called the Patiganitasara) and the Patiganita. However at least three other works have been attributed to him, namely the Bijaganita, Navasati, and Brhat

    What is the Sridharacharya Formula?

    The Sridharacharya formula is a mathematical formula used to calculate the area of a cyclic quadrilateral. It was discovered by the Indian mathematician Sridharacharya in the 12th century.

    Formula

    $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$

    How to Solve Quadratic Equations Using Sridharacharya Formula?

    Quadratic equations are equations of the form $ax^2 + bx + c = 0$, where $a$, $b$, and $c$ are constants and $x$ is the variable. The Sridharacharya formula is a method for solving quadratic equations that was developed by the Indian mathematician Sridhara in the 12th century.

    The Sridharacharya Formula

    The Sridharacharya formula states that the solutions to the quadratic equation $ax^2 + bx + c = 0$ are given by:

    $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$

    where:

    • $a$, $b$, and $c$ are the constants from the quadratic equation
    • $x$ is the variable
    How to Use the Sridharacharya Formula

    To use the Sridharacharya formula, simply substitut

  • contribution of sridharacharya in quadratic equation solver