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If x + 1/x = 1, then what is x?

 Oct 26, 2019
 #1
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+2

No solution 

as

x+1/x=1 

x+1=x 

x=x-1 No real solutions 

 

Use mathway.com/algebra if you want to check. 

 Oct 26, 2019
 #2
avatar+107085 
+2

Thanks guest.

 

If you mean 

 

\(x+\frac{1}{x}=1\qquad then\\ x^2+1=x\\ x^2-x+1=0\\ x=\frac{1\pm\sqrt{1-4}}{2}\\ x=\frac{1\pm\sqrt{-3}}{2}\\ x=\frac{1\pm\sqrt{3}\;i}{2}\\\)

This is not a real number. So if you are only looking for real numbers then guest is right. There are no solution.

 Oct 26, 2019

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