Oedipus answered the sphinx's riddle and sphinx killed herself. Once the sphinx was gone the people of Thebes were safe.
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It is by defeating the Sphinx that Oedipus saves Thebes before he becomes king "Oedipus Rex" by Sophocles (495 B.C.E. - 405 B.C.E.).Specifically, the Sphinx asks a troublesome riddle of all incoming and outgoing Thebans. No answer or one that is incorrect means that the Sphinx gets to indulge her appetite for freshly killed Thebans. But Oedipus puts an end to the Sphinx by correctly answering her question. The Sphinx takes her own life, and Thebes flourishes.
That he previously saved Thebes is the reason why Thebans think that Theban King Oedipus can help at the beginning of the play 'Oedipus Rex'. No one else was able to deliver the city from the Sphinx's heavy tax burden and ravenous human appetites. No one else was able to guess the answer to the Sphinx's riddle and thereby end the Sphinx's presence and life. It's no wonder that the people of Thebes believe in Oedipus' ability to protect and save them.
Creon wants Oedipus back because he want to use Oedipus as a talisman to save the people of Thebes from any curse..... boateng Qwasi
He answered the riddle of the Sphinx
Because he had save Thebes once before.