If `x,y` and`z` are three real numbers such that `x+y+z=4` and `x^2+y^2+z^2=6`,then show that each of x,y and z lie in the closed interval `[2/3,2]`

If x. y, z are positive real numbers such that x^2+y^2+z^2=27, then x^3+y^3+z^3 has

If x,y,z are three real numbers such that x+ y +z =4 and x^(2) + y^(2) +z^(2) =6 ,then (1) 2/3 le x,y,z le 2 (2) 0 le x,y,z le 2 (3) 1 le x,y,z le 3 (4) 2 le x,y,z le 3

If x,y,z are three real numbers such that x+ y +z =4 and x^(2) + y^(2) +z^(2) =6 ,then (1) 2/3 le x,y,z le 2 (2) 0 le x,y,z le 2 (3) 1 le x,y,z le 3 (4) 2 le x,y,z le 3

If x,y and z are real such that x+y+z=4, x^(2)+y^(2)+z^(2)=6 , x belongs to

If x.y,z are positive real numbers such that x^(2)+y^(2)+z^(2)=27, then x^(3)+y^(3)+z^(3) has