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Sunday, November 07, 2004

Somehow working my way through pages of maths has helped change my mood. Fiddling about with signs that look so small and mean so much...
Sure, it pisses me off when I forget a minus , but it's so easily rectified. And then I can look back and see the order and lines of pure maths, staring back at me. Line after line after line.

The first three terms in the expansion of (A+x)^m in ascending powers of x are 64 + 192x + Bx^2. Find the values of m, A and B.

A^m = 64
mA^(m-1)x = 192x, => mA^(m-1)=192
192/64 = 3
3A^m = 192
3A^m = mA^(m-1)
m/3 = (A^m)/(A^[m-1])
m/3 = A^1
m= 3A
A^3A = 64
A^A = 4
A = 2
m = 3A = 6
B = (15)24 =240

^_^


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