A complement is a secondary part of a sentence. It is placed after a predicate expressed by a verb or adjective, and expresses the speaker's view of the chance of success.
The state complement 个究竟 indicates that a person studies something in detail. In a sentence, it often follows the words like "to find out" and "to know".
Pay attention
In this case, the particle 得 is not used.
Examples
孩子们看什么都觉得新鲜,什么事都想知道个究竟
Children want to know everything because everything seems new to them