Question

Find two numbers x and y such that xy, x/y, x+y are equal.

Answer 1

If xy = , = x+y

xy² = x x= xy+y²

y² =1 x-xy = y²

y = +1 , -1 x(1-y) = y²

x =

if y =1 , x = = 0

if y = -1 , x = =

also xy = x+y

xy-x = y

x(y-1) = y

x =

if y= -1 , x = = ½

if y = 1 , x = = 1/0 = undefined

hence the value of x and y are ½ , -1