a-b-c-Z-a-b-3-b-c-3-1-Find-the-value-of-a-b-b-c-c-a-

Question Number 153512 by naka3546 last updated on 08/Sep/21

a, b, c \in Z

∣ a - b ∣^{3} + ∣ b - c ∣^{3} = 1

F i n d t h e v a l u e o f

∣ a - b ∣ + ∣ b - c ∣ + ∣ c - a ∣

Answered by MJS_new last updated on 08/Sep/21

for a, b, c \in Z we have

a = b \land ∣ \underset{(a)}{b} - c ∣= 1 \lor ∣ a - \underset{(c)}{b} ∣= 1 \land b = c

\Rightarrow

∣ a - b ∣ + ∣ b - c ∣ + ∣ c - a ∣= 2

Commented by naka3546 last updated on 08/Sep/21

t h a n k y o u, s i r .