+0

0
64
1
+95

Let $$(a_1,b_1), (a_2,b_2), \dots, (a_n,b_n)$$ be all the ordered pairs $$(a,b)$$ of complex numbers with $$a^2+b^2\neq 0, a+\frac{10b}{a^2+b^2}=5, \text{ and } b+\frac{10a}{a^2+b^2}=4.$$ Find $$a_1 + b_1 + a_2 + b_2 + \dots + a_n + b_n.$$

Sep 17, 2022