a-b-b-c-a-c-abc-a-b-c-

Question Number 173115 by dragan91 last updated on 06/Jul/22

a + b = b + c = a + c = abc

(a, b, c) = ?

Commented by kaivan.ahmadi last updated on 06/Jul/22

a + b = b + c \Rightarrow a = c

a + b = a + c \Rightarrow b = c

\Rightarrow a = b = c = x

2 x = x^{3} \Rightarrow x^{3} - 2 x = 0 \Rightarrow x (x^{2} - 2) = 0 \Rightarrow

{_{x^{2} = 2 \Rightarrow x = \pm \sqrt{2}}^{x = 0}