14. Algebra - Deepstash

14. Algebra

Brahmagupta gave the solution of general linear equations in chapter 18 of his book and wrote,The difference between rupas, when inverted and divided by the difference of the coefficients of the unknowns, is the unknown in the equation. The rupas are subtracted on the side below that from which the square and the unknown are to be subtracted.”

Algebraically, the above statement means that, for an equation of type bx+c = dx+e, the solution is given by x = e − c/b − d. He also gave two solutions for the quadratic equation ax² +bx = c, and wrote, 

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