2x+8y-xy=0 2x+8y=xy 2/y + 8/x=1 x+y = 2x+8y-xy=0 2x+8y=xy 2/y + 8/x=1 x+y =(x+y)*1 =(x+y)(2/y + 8/x) =8+2+ 2x/y +8y/x ≥10+2√[(2x/y)(8y/x)] =10+2√16=18 最小值為18 沒看懂的地方=8+2+ 2x/y +8y/x ≥10+2√[(2x/y)(8y/x)] =10+2√16=18 2x/y +8y/x怎麼算的等於2√[(2x/y)(8y/x)],又等於2√16

2x+8y-xy=0 2x+8y=xy 2/y + 8/x=1 x+y = 2x+8y-xy=0 2x+8y=xy 2/y + 8/x=1 x+y =(x+y)*1 =(x+y)(2/y + 8/x) =8+2+ 2x/y +8y/x ≥10+2√[(2x/y)(8y/x)] =10+2√16=18 最小值為18 沒看懂的地方=8+2+ 2x/y +8y/x ≥10+2√[(2x/y)(8y/x)] =10+2√16=18 2x/y +8y/x怎麼算的等於2√[(2x/y)(8y/x)],又等於2√16


2x/y +8y/x>=2√[(2x/y)(8y/x)]=2√16
運用了
a+b.>=2√(ab)