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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 Solution | Comment 3 of 7 |
Let t = 31,415,926,534
a = (t+1)^3 - (t-1)^3 = t^3 + 3t^2 + 3t + 1 - (t^3 - 3t^2 + 3t - 1)
a = 6t^2 + 2
6t^2 = a - 2
t^2 = (a-2)/6
t = sqrt(a-2)/6 which is the same as z
z = t = 31,415,926,534

  Posted by Larry on 2022-04-17 12:32:46
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