Por favor resuelve q 10?

Por favor resuelve q 10?
Anonim

Responder:

La respuesta es #=2#

Explicación:

# x = a / (b + c) #

# y = b / (c + a) #

# z = c / (a + b) #

Por lo tanto, # 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) #

Finalmente, # 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#