x+y+z=4[√(x-5)+√(y-4)+√(z-3)]
x-4√(x-5)+y-4√(y-4)+z-4√(z-3)=0
x-5-4√(x-5)+4+y-4-√(y-4)+4+z-3-4√(z-3)+4=0
[√(x-5)-2]^2+[√(y-4)-2]^2+[√(z-3)-2]^2=0
[√(x-5)-2]^2=0,[√(y-4)-2]^2=0,[√(z-3)-2]^2=0
√(x-5)-2=0,√(y-4)-2=0,√(z-3)-2=0
√(x-5)=2,√(y-4)=2,√(z-3)=2
x-5=4,y-4=4,z-3=4
x=9
y=8
z=7