First slide

Theory of equations

Question

The number of roots of the equation $x - \frac{2}{x - 1} = 1 - \frac{2}{x - 1}$ , is

Moderate

A

1
B

2
C

0
D

infinitely many

Solution

The given equation is meaningful for $x \neq 1$
Now , $x - \frac{2}{x - 1} = 1 - \frac{2}{x - 1} \Rightarrow x = 1$
But, the equation exists for $x \neq 1$ .
Hence, the equation has no solution.

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