Identify the conic section that is represented by the equation.2x2 – 4x + 5y2 – 3y + 2 = 0

The equation has squared x and y terms with positive, unequal coefficients: 2x² and 5y². Completing the square gives 2(x − 1)² + 5(y − 0.3)² = 0.45, which is an ellipse because both squared terms have positive coefficients and the right side is positive. So the conic is an ellipse.

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