## Calculus: Early Transcendentals 8th Edition

Let the two numbers be $x$ and $x+100$. We want to minimize their product, the function: $f(x)=x(x+100)=x^{2}+100x$. $f'(x)=2x+100$, so our critical value is at $x=-50$. Therefore our two values are -50 and 50 ($x$ and $x+100$).