Let x > 0, Y > 0 and X + 2Y = 1, find the minimum value of (1 / x) + (1 / y) It's a process Please use the basic inequality to solve the problem Because I didn't learn Cauchy's inequality in my freshman year

Let x > 0, Y > 0 and X + 2Y = 1, find the minimum value of (1 / x) + (1 / y) It's a process Please use the basic inequality to solve the problem Because I didn't learn Cauchy's inequality in my freshman year

(1/x+1/y)
=(1/x+1/y)*1
=(1/x+1/y)*(x+2y)
=1+2y/x+x/y+2
>=2 * radical (2Y / X * x / y) + 3
=2 radical 2 + 3