Question

ghe 3 wh would thy to mare whall
[
begin{array}{l}
text { bymates to yot minimum value }
Rightarrow x^{2}-4 x y+4 y^{2}+x^{2}-4 x z+4 x^{2}+x^{2}
-4 x+4+y^{2}-2 y+1+20
-8(n-2 y)^{2}+(x-2 z)^{2}+(n-2)^{2}+(y-1)^{2}+20
end{array}
]
by vate of any ( n 0,70 )
So, minimuth value of expression ( =20 )

# Find the minimum value of 3x2 + 5y2 + 4z2 - 4xy- 4xz- 4x-2y + 25 for real numbers x, y and z.

Solution