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Question

solve the equation:
(3x4)3(x+1)3(3x4)3+(x+1)3=61189

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Solution

(3x4)3(x+1)3(3x4)3+(x+1)3=61189

26x3111x2+141x6528x3105x2+147x63=61189

(26x3111x2+141x65)189=(28x3105x2+147x63)61

3206x314574x2+17682x8442=0

use trial and error method.

when we substitute x=3 we get 0=0

x=3

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