Complex Numbers And Quadratic Equations question 731
Question: How many roots the equation $ x-\frac{2}{x-1}=1-\frac{2}{x-1} $ have [IIT 1984; UPSEAT 1999; Pb. CET 2003]
Options:
A) One
B) Two
C) Infinite
D) None
Show Answer
Answer:
Correct Answer: D
Solution:
If $ x\ne 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\ne 1 $ . Thus given equation has no roots.
BETA
