Question 983423
p = q + 7
(q + 7)^2 + q^2 = 85
q^2 + 14q + 49 + q^2 = 85
2q^2 + 14q + 49 = 85
2q^2 + 14q - 36 = 0
q^2 + 7q - 18 = 0
(q+9) * (q-2) = 0
q is -9 or 2, therefore
********************************** 
we have two solutions
q = -9 and p = -2
q = 2 and p = 9