Find two numbers whose difference is 154 and whose product is a minimum.

Y - x = 154

let z = xy = x (154 + x) = x^2 + 154x

we need to find the minimum value of z

z' = 2x + 154 which = zero for minm or maxm value

x = - 77 and y = 154 - 77 = 77

so the 2 numbers are - 77 and 77