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# help

0
128
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If x + 1/x = 1, then what is x?

Oct 26, 2019

#1
+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
+108626
+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