Given that X and Y belong to R + and X + 2Y = 1, find the minimum value of 1 / x + 1 / Y and the value of X and y when the minimum value is obtained

Given that X and Y belong to R + and X + 2Y = 1, find the minimum value of 1 / x + 1 / Y and the value of X and y when the minimum value is obtained

Because 2x + y = 1
1/x+1/y=(2x+y)(1/x+1/y)
=2+(y/x)+(2x/y)+1
=3+[(y/x)+(2x/y)]
≥3+2√[(y/x)(2x/y)]
=3+2√2
If and only if y / x = 2x / y, the minimum value of the original formula is 3 + 2 √ 2
At this time, we can get x =? Y =? (please ask yourself, remember that X and Y belong to R +,)