X*y=-200,

x+y=17,x=17-y,

y^2-17y-200=0,

y=(17-(1089)^1/2)/2,x=(17+(1089)^1/2)/2,

two numbers are (17-(1089)^1/2)/2 and (17+(1089)^1/2)/2

x+y=17,x=17-y,

y^2-17y-200=0,

y=(17-(1089)^1/2)/2,x=(17+(1089)^1/2)/2,

two numbers are (17-(1089)^1/2)/2 and (17+(1089)^1/2)/2