Complex Numbers And Quadratic Equations question 732
Question: The solution of the equation $ x+\frac{1}{x}=2 $ will be [MNR 1983]
Options:
A) 2, -1
B) 0, -1, $ -\frac{1}{5} $
C) $ -1,-\frac{1}{5} $
D) None of these
Show Answer
Answer:
Correct Answer: D
Solution:
$ x+\frac{1}{x}=2\Rightarrow x+\frac{1}{x}-2=0 $ $ (\because x\ne 0) $
Þ $ x^{2}-2x+1=0 $
Þ $ {{(x-1)}^{2}}=0 $
Þ $ x=1,1 $ .
BETA
