Mathematics

Mathematics

Problem

The number of ordered pairs (x,y)(x, y) of real numbers satisfying 4x2−4x+2=sin⁡2y4x^2 - 4x + 2 = \sin^2 y and x2+y2≤3x^2 + y^2 \le 3, is equal to a. 0 b. 2 c. 4 d. 8

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