Question 724096
let x & x+2 be the integers


{{{x^3-(x+2)^3 = x^2+(x+2)^2 +400}}}

{{{(x-(x+2))(x^2+x(x+2)+(x+2)^2)= x^2+x^2+4x+4+400}}}

{{{2(x^2+x^2+2x+x^2+4x+4)= 2x^2+4x+404}}}

{{{6x^2+12x+8=2x^2+4x+404}}}

{{{4x^2+8x-396=0}}}
/4
{{{x^2+2x-99=0}}}

(x+11)(x-9)=0

x=9 which is positive

9,11 are the positive integers