If x y=4225 where x, y are natural numbers, then what is the minimum value of x+y ?

Step-by-step solution

x y=4225 y= 4225 x Let S=x+y=x+ 4225 x ds dx =1- 4225 x ^2 =0 x=65 aligned & d ^2 ~s dx ^2 = 2.4225 x ^3 & ( ~d ^2 ~s dx ^2 )_ ( x =65) = 2.4225 (65)^3 0 aligned x+y is minimum at x=65 and y=65 Minimum value of x+y=65+65=130