Question

已知x/(y+z+t)=y/(x+z+t)=z/(x+y+t)=t/(x+y+z) 求a=(x+y)/(z+t)+(y+

Answer 1

x/(y+z+t)=y/(x+z+t)=z/(x+y+t)=t/(x+y+z) =k

x=k(y+z+t)

y=k(x+z+t)

z=k(x+y+t)

t=k(x+y+z)

x+y+z+t=3k(x+y+z+t) 得k=1/3 得 x=y=z=t

故所求值为4