The term conjugate has a number of meanings and implications. A common meaning is 'joined together particularly in a pair or pairs'. It usually refers to the addition of inflections that show person, gender, number, tense, aspect and so on, as in "conjugating a verb". It could mean 'of a pinnate leaflet' or possessing just one pair of leaflets. To conjugate could also be described as 'to undergo conjugation'.
Conjugate having the same derivation and therefore usually some likeness in meaning. In Mathematics & Physics it refers to any such of a set of numbers which are able to satisfy the very same irreducible polynomial.
It could mean to unite chemically such that the product can be easily broken down to result in the original compounds. Conjugate could also refer to something that has resulted from the amalgamation of two compounds. Conjugate may be of an organic compound; something that contains two or more than two double bonds that are all separated from each other by one single bond. A conjugate solution is when a mixture containing two partially miscible liquids creates two conjugate solutions.