Answer:
I am going to let a = (p)^1/2 and b = (q)^1/2 for ease in typing
(a + b) / (1 - a) = (4 a + b) / (1 - a^2) = (4 a + b) / [(1 - a) (1 + a)]
a + b = (4 a + b) / (1 + a) multiply by (1 - a)
a + a^2 + b + b a) = 4 a + b
a + a^2 + b a = 4 a drop b on both sides
a^2 + b a = 3 a
b a = 3 a - a^2
b = 3 - a divide by a
a + b = 3
or p^1/2 + q^1/2 = 3
