Question 1031188
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x^5 + 242 = 243/x^5
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{{{x^5 + 242}}} = {{{243/x^5}}}  --->  

{{{x^10 + 242x^5 - 243}}} = {{{0}}},

{{{(x^5+243)*(x^5-1)}}} = {{{0}}}.

It gives you two equations:

(1)  {{{x^5+243}}} = {{{0}}}  --->  {{{x^5}}} = {{{-243}}}  --->  x = -3

and

(2)  {{{x^5-1}}} = {{{0}}}  --->  {{{x^5}}} = {{{1}}}  --->  x = 1.

(If we restrict ourself by real solutions only).
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