In the Middle East during the Muslim Empire (600-ish AD).
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There were no Muslims around 4000 years ago when the Babylonians began using what we now call algebra.
Al Khwarizmi is said to be the founder of Algebra, since he first used it.that why we use it now
ben john
The origins of algebra can be traced back to ancient mathmatics roughly 4 thousand years ago!
Elementary algebra