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We prove that this equation has no solutions if $\\deg f \\geq 3$. If $\\deg f = 2$, we prove that $m = 2$ and give all solutions explicitly in terms of Chebyshev polynomials. 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We prove that this equation has no solutions if $\\deg f \\geq 3$. If $\\deg f = 2$, we prove that $m = 2$ and give all solutions explicitly in terms of Chebyshev polynomials. 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