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Some basic Maths (Posted on 2013-01-19) Difficulty: 3 of 5
If a = 91/3 - 31/3 + 1,

what is the value of [(4-a)/a]6

No Solution Yet Submitted by Danish Ahmed Khan    
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Solution Solution | Comment 1 of 2
We know that x^3 + y^3 = (x+y)(x^2-xy+y^2)

So, for (x,y)=(3^1/3, 1), we have:
4 = a*(3^1/3 + 1) 
=> (3^1/3 + 1) = 4/a
=> [(4-a)/a] = 3^1/3 
=> [(4-a)/a]^6 = (3^1/3)^6 = 3^2 = 9

Edited on January 19, 2013, 11:17 am
  Posted by K Sengupta on 2013-01-19 11:12:14

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