11this is a good 1
i am not having the exact idea
please disclose the solution[1]
Find all positive integral solutions (a,b,c) to the equation (a+1)(b+1)(c+1)=2(abc + 1)
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3 Answers
11
1(a+1)(b-1)(c-1)\ge 0 \\ \implies b+c+ac+bc \ge abc+a+bc+1 > abc +1. \\ So\\ (a+1)(b+1)(c+1)=abc+a+c+b+ac+cb+ab+1 >2(abc+1) \\ since\text{ } a+ab>0
So no positive integral solution.
11[339][339][339][339]
mast work
good solution
vivek please verify it