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Question

(3x -4)3 - (x + 1)3(3x - 4)3 + (x + 1)3 = 61189

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Solution

3x-43-x+133x-43+x+13=611893x-43-x+13+3x-43+x+133x-43-x+13-3x-43-x+13=61+18961-189 (Componendo and dividendo)23x-43-2x+13=250-1283x-43x+13=12564

3x-4x+1=54By cross-multiplying, we get: 12x-16=5x+57x=21x=3

Therefore, x = 3 is the solution.

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