Question

Determinati cat e x , y ,z daca : xy+yz=175 şi x/3=y/7=z/2

Answer 1

Răspuns:

Explicație pas cu pas:

x = 3y/7

z = 2y/7

xy + yz = 175

y(x + z) = 175

y(3y/7 + 2y/7) = 175

5y^2/7 = 175

y^2 = 175*7/5 = 245

y = 7√5 sau -7√5

___________

y = 7√5

x = 3*7√5/7 = 3√5

z = 2*7√5/7 = 2√5

_____________

y = -7√5

x = -3*7√5/7 = -3√5

z = -2*7√5/7 = -2√5