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Algebra

Blazing goIITian

Joined:	19 Jan 2008
Post:	809

20 Nov 2011 18:20:50 IST

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positive integer a nd b

Mathematics

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hemang

Blazing goIITian

Joined: 27 Dec 2010

Posts: 1474

21 Nov 2011 10:15:36 IST

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well i got this..

a = (50)³.

b = (20*6)³ .

or we can interchange the values...

b = (50)³

a = (20*6)³

it is good to see you on this forum bhaiya ...

Manasi

Forum Expert

Joined: 1 Dec 2006

Posts: 2108

13 Feb 2012 13:59:01 IST

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a^1/3 + b^1/3 - 1 = 49 + 20 (6)^1/3

=> a^1/3 + b^1/3 = 50 + 20 (6)^1/3

comparing, a = 50³

b = 6*20³

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