Which of these numbers have a larger value?
1)
2 0 0 − 1 7 2 0 0 − 1 7 2 0 0 − 1 7 2 0 0 − 1 7 …
2)
2 0 0 2 0 0 2 0 0 2 0 0 …
Let a be the value of the first nested radical, and b be the values of the second nested radical.
If a is greater provide the answer as, ( a + b ) 2 , if b is greater provide the answer as ( a − b ) 2 .
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
C H E E R S !
Log in to reply
C H E E R S ! ! !
Log in to reply
I don't know why but my followers are increasing so rapidly that I just can't believe it.In last 4-5 days I got 7 4 followers!
Log in to reply
@Nihar Mahajan – :P
@Nihar Mahajan – Well, that's most probably because of information cascading. The more popular you are, the greater the rate of increase in number of followers per some unit of time. But I'm not really sure that that's the cause.
I know that YouTube uses information cascading.
@Nihar Mahajan – O M G ! ! !
Congrats @Sravanth Chebrolu !!
Keep Calm. I've just reached 200 followers.
I can keep calm, but you must be excited as heck! Congratulations buddy!
Log in to reply
Thank you @vishnu c , don't forget to upvote my solution! He he . . .
Great solution
Problem Loading...
Note Loading...
Set Loading...
Let's first solve a ,
Let, 2 0 0 − 1 7 2 0 0 − 1 7 2 0 0 − 1 7 2 0 0 − 1 7 … = x
Therefore, 2 0 0 − 1 7 x = x 2 0 0 − 1 7 x = x 2 x 2 + 1 7 x − 2 0 0 = 0 x 2 + 2 5 x − 8 x − 2 0 0 = 0 x ( x + 2 5 ) − 8 ( x + 2 5 ) = 0
Hence the two values of x are x = ( − 2 5 ) and x = 8 . We can ignore the negative value, hence x = 8
Now, let's take b
Let, 2 0 0 2 0 0 2 0 0 2 0 0 … = y
Therefore, 2 0 0 y = y 2 0 0 y = y 2 2 0 0 = y
Hence the value of y = 2 0 0 .
Now, as b is greater than a the answer is ( a − b ) 2 ( 8 − 2 0 0 ) 2 ( − 1 9 2 ) 2 = 3 6 8 6 4