Let a, b, and c be positive integers satisfying
a^{4}+a^{2} b^{2}+b^{4}=9633
2 a^{2}+a^{2} b^{2}+2 b^{2}+c^{5}=3605
What is the sum of all distinct values of a+b+c?
Let a, b, and c be positive integers satisfying
a^{4}+a^{2} b^{2}+b^{4}=9633
2 a^{2}+a^{2} b^{2}+2 b^{2}+c^{5}=3605
What is the sum of all distinct values of a+b+c?