Menu Close

Given-that-are-the-three-roots-of-the-equation-x-59-3-2x-64-3-3x-123-3-find-the-value-of-




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

Leave a Reply

Your email address will not be published. Required fields are marked *