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August 23, 2014

Homework Help: math (binomial exp)

Posted by Gemini on Monday, October 19, 2009 at 2:10pm.

the Q is :
Given that (1+ax)^n = 1 + 30x +375x^2+.... find the values of the constants a and n .

I know that :
(i am writing (n 1) as the coefficient of n)

(n 1) *ax = 30x

(n 2) *(ax)^2 = 375x^2

which can be written as
(n 1)* a = 30
(n 2)*a^2 = 375

I solved this only by intuition and got n = 6 and a = 5
but does anyone know how to calculate it otherwise?

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