Ratkaise q 10?

Ratkaise q 10?
Anonim

Vastaus:

Vastaus on =2

Selitys:

X = a / (b + c)

Y = b / (c + a)

Z = c / (a + b)

Siksi, 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)

Lopuksi

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