olymmath

VN-TST 1985 Problem 5

    Find all real values of a for which the equation (a−3x2+cos⁡9πx2)3−ax=0(a - 3x^2 + \cos \frac {9\pi x}{2})\sqrt {3 - ax} = 0 has an odd number of solutions in the interval [−1,5][ - 1,5]

    Dataset text AI-MO AoPS. Quoted with source.

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