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Brahmagupta's problem

This problem was given in India by the mathematician Brahmagupta in 628 AD in his treatise Brahma Sputa Siddhanta: Solve Pell's equation

x 2 − 92 y 2 = 1 {\displaystyle x^{2}-92y^{2}=1}

for integers x , y > 0 {\displaystyle x,y>0} . Brahmagupta gave the smallest solution as

( x , y ) = ( 1151 , 120 ) {\displaystyle (x,y)=(1151,120)} .

See also Indian mathematics List of Indian mathematicians Indeterminate equation Diophantine equation

External links Weisstein, Eric W. "Brahmagupta's Problem". MathWorld.

Tags

  • Brahmagupta
  • Diophantine equations
  • History of mathematics stubs