Q: Did the Greeks invent algebra

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They didn't

Yes, they did take a part in it, but it wasn't as strong and as practical as the Arabic algebra which was founded later.

It was invented out of need; it was a very long and slow process.

No. The origins of algebra can be traced back to ancient Babylonia mathematicians roughly four thousand years ago.

No, the Mesopotamians did in the 3rd Millennium BCE.

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