x=1?

Algebra Level 2

$\large x + \frac{1}{x-1} = 1 + \frac{1}{x-1}$

Find $x$ .

0 1 This equation is unsolvable. None of the others

1 solution

Steven Jim
Apr 13, 2017

So x >< 1 in order for x - 1 to be defined. Then x + $\frac{1}{x - 1}$ - (1 + $\frac{1}{x - 1}$ ) = 0. Eliminating $\frac{1}{x - 1}$ , we are left with x = 1, which is impossible.

x=1?

1 solution

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