Answer:
n = 3 + i√11 , 3 - i√11
Step-by-step explanation:
This is a quadratic equation and the first step is to write it in standard form:
5n^2 - 30n + 100 = 0
Divide through by 5:
n^2 - 6n + 20 = 0
Completing the square:-
(n - 3)^2 - 9 + 20 = 0
(n - 3)^2 = -11
n - 3 = i√11 or - i√11
n = 3 + i√11 , 3 - i√11
(2 complex roots).
