Kérem, oldja meg a q 10-et?

Kérem, oldja meg a q 10-et?
Anonim

Válasz:

A válasz #=2#

Magyarázat:

# X = a / (b + c) #

# Y = b / (C + A) #

# Z = c / (a + b) #

Ebből adódóan, # 1 / (1 + x) = 1 / (1 + a / (b + c)) = (b + c) / (a + b + c) #

# 1 / (1 + y) = 1 / (1 + b / (C + A)) = (c + a) / (a + b + c) #

# 1 / (1 + z) = 1 / (1 + c / (a + b)) = (a + b) / (a + b + c) #

Végül, # 1 / (1 + x) + 1 / (1 + y) + 1 / (1 + z) #

# = (B + c) / (a + b + c) + (c + a) / (a + b + c) + (a + b) / (a + b + c) #

# = (B + c + c + A + A + b) / (a + b + c) #

# = (2 (a + b + c)) / (a + b + c) #

#=2#