India to the World

Mathematics & Computer Science

Sridhara's rule for quadratic equations

c. 870-930 CESridharacharyaPatiganita / Trisatika (rule quoted by Bhaskara II)Pan-Indian / unspecified

870 CE

A completing-the-square rule for solving quadratics, often called 'Sridharacharya's formula' in Indian schools.

Dated
870–930 CE
As scholars put it
c. 870-930 CE
Originator
Sridharacharya
Source text
Patiganita / Trisatika (rule quoted by Bhaskara II)
Region
Pan-Indian / unspecified
Discipline
Mathematics & Computer Science
Evidence
Documented
Confidence
High
Verification
Verified-web

Meanwhile in the West

The quadratic formula of modern algebra.

Fair to say

Brahmagupta treated quadratics earlier; Sridhara's rule survives only through Bhaskara II's quotation and takes one root.

Path to modern innovation

The standard method taught worldwide.

Builds on

Transmission

Quoted by Bhaskara II; known to later Indian writers.

References

  • 1MacTutor (O'Connor & Robertson)
  • 2K. S. Shukla, Patiganita (1959)

Further reading

Corrections and additional sources: edit IND-240 on GitHub.