Q. Number of roots of the equation $x - \frac{2}{x - 1} = 1 - \frac{2}{x - 1}$ is
A) One
B) Two
C) Infinite
D) None of these
Explanation
(d)
If $x \neq 1$, multiplying each term by $(x - 1)$the given equation reduces to $x(x - 1) = (x - 1)$ or $(x - 1)^{2} = 0$ or $x = 1$, which is not possible as considering $x \neq 1$, thus given equation has no roots
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.