Is there an analytic solution to find the zeroes of an equation of the form: $$0 = at^2+bt+c+\sin(mt^2+nt+o)$$
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1No. $\qquad \qquad$ – May 21 '16 at 19:36
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By "analytic solution" you are allowing infinite series, Bessel functions, etc? There may be such an expression for the roots, but it sure won't be pretty... – user7530 May 21 '16 at 19:52
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@ZacharySelk I wouldn't be so confident: consider that $\cos x -x = 0$ has an analytic solution, for instance: http://math.stackexchange.com/questions/10427/solving-2x-sin-2x-pi-2-for-0-x-pi-2 – user7530 May 21 '16 at 19:54