21/04/27 01:22:14.42 aViIDzZS.net
(x^2-6x+13-4/13(x-6)^2=1/13(x-5/3)^2
∴√(x^2-6x+13)≧-2/√13|x-6|
(x^2-2x+2-4/13(x+1/2)^2=11/13(x-5/3)^2
∴√(x^2-2x+2)≧-2/√13|x-+1/2|
∴√(x^2-2x+2)+√(x^2-6x+13)
≧2/√13|x-6|+2/√13|x+1/2|
≧√13
rhe eq. holds iff x = 5/3
21/04/27 01:22:14.42 aViIDzZS.net
(x^2-6x+13-4/13(x-6)^2=1/13(x-5/3)^2
∴√(x^2-6x+13)≧-2/√13|x-6|
(x^2-2x+2-4/13(x+1/2)^2=11/13(x-5/3)^2
∴√(x^2-2x+2)≧-2/√13|x-+1/2|
∴√(x^2-2x+2)+√(x^2-6x+13)
≧2/√13|x-6|+2/√13|x+1/2|
≧√13
rhe eq. holds iff x = 5/3