SOLUTION: x^5+242=243/x^5

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Question 1031188: x^5+242=243/x^5
Answer by ikleyn(52817) About Me  (Show Source):
You can put this solution on YOUR website!
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x^5 + 242 = 243/x^5
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x%5E5+%2B+242 = 243%2Fx%5E5  --->  

x%5E10+%2B+242x%5E5+-+243 = 0,

%28x%5E5%2B243%29%2A%28x%5E5-1%29 = 0.

It gives you two equations:

(1)  x%5E5%2B243 = 0  --->  x%5E5 = -243  --->  x = -3

and

(2)  x%5E5-1 = 0  --->  x%5E5 = 1  --->  x = 1.

(If we restrict ourself by real solutions only).