Quantitative Aptitude Ques 585
Question: $ \sqrt{6+\sqrt{6+\sqrt{6+….}}} $ is equal to
Options:
A) 4
B) 5
C) 3
D) 2
Show Answer
Answer:
Correct Answer: C
Solution:
- Let $ y=\sqrt{6+y} $
$ \Rightarrow $ $ y^{2}-y-6=0 $
$ \Rightarrow $ $ y^{2}-3y+2y-6=0 $
$ \Rightarrow $ $ y,(y-3)+2,(y-3)=0 $ $ y=-,2, $ 3 $ y\ne -,2 $
$ \therefore $ $ y=3 $
BETA
