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From a to z (Posted on 2022-04-17) Difficulty: 3 of 5
If a=31,415,926,5353-31,415,926,5333

Evaluate z=sqrt((a-2)/6)

No Solution Yet Submitted by Ady TZIDON    
Rating: 4.5000 (2 votes)

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Solution Puzzle Solution | Comment 1 of 7
Let b=31,415,926,533 (say)
Then, we must hae:
a= (b+2)^3 -b^3
   = 3*(b^2) *2+ 3*b*(2)^2+2^3
   = 6*b^2 +12*b +8
So, a-2 = 6*b^2 +12*b +6
             =6*(b+1)^2
=> (a-2)/6 = (b+1)^2
=>  V[(a-2)/6]  = b+1
So, z= b+1 = 31,415,926,534

*** As 3.1415926535 is close to pi - how one wishes that this puzzle was published on a Pi Day !!!
 
[/EDIT /] : Actually 3.1415926536 is CLOSER to pi than the abovementioned number.

Edited on April 17, 2022, 7:25 am
  Posted by K Sengupta on 2022-04-17 07:03:51

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