FERMAT 2019 Problem 24

Consider the quadratic equation x^{2}-(r+7) x+r+87=0 where r is a real number. This equation has two distinct real solutions x which are both negative exactly when p<r<q, for some real numbers p and q. The value of p^{2}+q^{2} is

Answer Choices
A. 7618
B. 698
C. 1738
D. 7508
E. 8098