Question Number 137652 by ZiYangLee last updated on 05/Apr/21
$$\mathrm{Given}\:\mathrm{that}\:\alpha,\beta,\gamma\:\mathrm{are}\:\mathrm{the}\:\mathrm{three}\:\mathrm{roots}\:\mathrm{of}\: \\ $$$$\mathrm{the}\:\mathrm{equation}\:\left({x}−\mathrm{59}\right)^{\mathrm{3}} +\left(\mathrm{2}{x}−\mathrm{64}\right)^{\mathrm{3}} =\left(\mathrm{3}{x}−\mathrm{123}\right)^{\mathrm{3}} , \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\alpha+\beta+\gamma. \\ $$
Answered by mitica last updated on 05/Apr/21
Commented by Rasheed.Sindhi last updated on 05/Apr/21
$$\mathcal{N}{ice}! \\ $$
Commented by otchereabdullai@gmail.com last updated on 05/Apr/21
$$\mathrm{thanks}\:\mathrm{sir}! \\ $$