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-x-y-z-2-2-0-x-y-z-2-3-1-x-y-z-3-4-2-x-y-z-3-

Question Number 21319 by Tinkutara last updated on 20/Sep/17

If x, y, z are three real numbers such

that x + y + z = 4 and x^{2} + y^{2} + z^{2} = 6,

then

(1) \frac{2}{3} ⩽ x, y, z ⩽ 2

(2) 0 ⩽ x, y, z ⩽ 2

(3) 1 ⩽ x, y, z ⩽ 3

(4) 2 ⩽ x, y, z ⩽ 3