Complex Numbers And Quadratic Equations question 744
Question: The value of $ x=\sqrt{2+\sqrt{2+\sqrt{2+…..}}} $ is [Karnataka CET 2001]
Options:
A) -1
B) 1
C) 2
D) 3
Show Answer
Answer:
Correct Answer: C
Solution:
$ x=\sqrt{2+x} $
Þ $ x^{2}-x-2=0 $
Þ $ (x-2)(x+1)=0 $
Þ $ x=2,-1 $ But $ \sqrt{2+\sqrt{2+…..}}\ne -1 $ , so it is equal to 2.
BETA
