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 Mar 31 comment Plotting solutions of a 4th order polynomial equation I don't understand light and dark green and lines there while roots moving Mar 31 asked Plotting solutions of a 4th order polynomial equation Mar 25 asked ExpToTrig transforms solution to 4th order ODE into unwanted form Mar 24 comment NDSolve in exact points - nonlinear equation (Degrees and Radians confusion) so professional code Mar 24 comment NDSolve in exact points - nonlinear equation (Degrees and Radians confusion) Thank you very much Mar 23 revised NDSolve in exact points - nonlinear equation (Degrees and Radians confusion) added 207 characters in body Mar 23 comment NDSolve in exact points - nonlinear equation (Degrees and Radians confusion) I used FindMaximum[zsol[t], t] on the segment but doesn't work? I obtained value which is not maximum because I can see from the diagram Mar 23 accepted NDSolve in exact points - nonlinear equation (Degrees and Radians confusion) Mar 23 comment NDSolve in exact points - nonlinear equation (Degrees and Radians confusion) I think I can handle, thank you very much Mar 23 comment NDSolve in exact points - nonlinear equation (Degrees and Radians confusion) just for first cycle Mar 23 comment NDSolve in exact points - nonlinear equation (Degrees and Radians confusion) I need position of z, velocity z', angular velocity ϕ' and angular acceleration ϕ'' for various ϕ which I choose and for which t. It should be table of 6x7 of data? {z[t], z'[t], ϕ'[t], ϕ''[t], z''[t], t} Mar 23 asked NDSolve in exact points - nonlinear equation (Degrees and Radians confusion) Mar 23 comment Solutions of cubic equation D>0 or D<0 thank you very much. I just wanted to see which substitutions did you use for presenting the solutions. Mar 22 comment Solutions of cubic equation D>0 or D<0 @ubpdqna code is great and everything is working. I just followed the code and in the last step I thought that if I substitute parameters I obtain in the last step {-1.03412, -1.03412, 0.467062 - 0.865364 I, 0.467062 + 0.865364 I, 0.467062 - 0.865364 I, 0.467062 + 0.865364 I} and solutions which code gave is {{x -> -0.000500125}, {x -> -0.000250062 - 0.316228 I}, {x -> -0.000250062 + 0.316228 I}}. My question is how to see roots in analytic form which you used in the code? Mar 22 comment Solutions of cubic equation D>0 or D<0 @ubpdqna I have one thing which is not clear, why the last step Simplify[Chop[ps - a2/3]] is not giving solutions the same with NSolve[0 == 0.0000500125 + 0.100000250125 x + 0.00100025` x^2 + x^3,x] if I set parameters immediately on the beginning? Mar 22 comment Solutions of cubic equation D>0 or D<0 ubpdqn Thank you very very much, it was my mistake in understanding any way. Mar 22 accepted Solutions of cubic equation D>0 or D<0 Mar 22 revised Solutions of cubic equation D>0 or D<0 added 181 characters in body; edited title Mar 22 asked Solutions of cubic equation D>0 or D<0 Mar 15 comment Symbolic solution of irrational equation congrats Artes, I didn't know that this is possible to do. But I think in any case big knowledge is necessary for this