solve for p

Asked by Aravindh Nandha Raj s | 29th May, 2013, 11:38: AM

Expert Answer:

(3^(3+1/p)-15)^2-144=0
(3^(3+1/p)-15)^2 = 12^2
Hence (3^(3+1/p)-15) = +12 or -12
3^(3+1/p) = 27 or 3
 3^(3+1/p) = 3^3 or 3^1
Hence 3+1/p = 3 or 1
If 3+1/p = 3, then p = infinity (not possible usually)
Hence 3+1/p = 1 
2 = -1/p 
p = -1/2 which is the true answer.

Answered by  | 30th May, 2013, 03:10: AM

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