Which conic section is represented by the following equation?3x2 – 7x + 8y2 – 2y + 1 = 0

The squared terms are 3x² and 8y², so their coefficients are both positive but unequal. A conic with squared terms of the same sign and unequal coefficients is an ellipse. Completing the squares gives a positive right-hand side, confirming this is a real ellipse, not a degenerate case.

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