- Of one root of an equation, a conjugate is another number
that is a root of the same equation. Thus, if x2 + 2x - 3 = 0, the numbers 1 and -3 are conjugates. If one root
of an equation is a complex number of the form a + bi, then it is a fundamental theorem
of algebra that it has a complex conjugate of the form a - bi, also a root of the equation. Complex
binomials are those such that (a + b) and
(a - b) which differ only by one sign. Another conjugate
of (a + b), though not of (a - b),
is (-a + b).
- Conjugate angles add up to 360°.
- Conjugate lines of a conic section have the property that each contains the pole point of the other, while conjugate points of a conic have the property that
each lies on the polar line of the other.
In general, conjugate indicates that there is a symmetrical relationship
between two objects A and B; in other words, there is
an operation that will turn A into B and B into A.