Find the ratio in which the curve, [where

MATHEMATICS · Subjective · AoPS · Mathematics · Special Functions · Special Functions

Problem

Find the ratio in which the curve, y=[−0.01x4−0.02x2]y = [-0.01x^4 - 0.02x^2] [where, [][] denotes the greatest integer function] divides the ellipse 3x2+4y2=123x^2 + 4y^2 = 12 .

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