First of all, I'm not in Algebra II. But I think I can solve this.
Let x=first positive real number
7-x=second positive real number (since the sum is 7)
-x squared + 7x - 11 = 0
-(x squared - 7x + 11) = 0
-(x - )(x - ) = 0
Hmm... it doesn't look like this will work. So, I'll have to go with "no solution".
Remember, I'm not in Algebra II, and I've just gotten through quadratic equations in Algebra I. I may very well be wrong.