Classify the conic represented by the following equation.x2 – 10x + 7y2 + y + 8 = 0

The equation has both an x² term and a y² term, and their coefficients (1 and 7) are positive but unequal. A conic with squared-variable terms of the same sign and unequal coefficients is an ellipse, so the correct choice is “ellipse.”

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