perplexus.info :: Just Math : From a to z

From a to z (Posted on 2022-04-17)

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

| 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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