Ptolemy Apion was the son of Ptolemy VIII by a concubine, and inherited Cyrenaica at some time before 101 BC. He died in 96 BC, having no heirs and bequeathed the kingdom to the Roman Republic.
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... c, which are assumed to be real (but see below for generalizations) with a being non-zero. These solutions are also called the roots of the equation. The formul ...