## conjugate- Of one root of an equation, a conjugate is another number
that is a root of the same equation. Thus, if
*x*^{2}+ 2*x*- 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. ## Related category• MATHEMATICAL TERMINOLOGY | |||||

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