  The notion of 'bifurcating continued fractions' is introduced. Two coupled
sequences of non-negative integers are obtained from an ordered pair of
positive real numbers in a manner that generalizes the notion of continued
fractions. These sequences enable simple representations of roots of cubic
equations. In particular, remarkably simple and elegant 'bifurcating continued
fraction' representations of Tribonacci and Moore numbers, the cubic variations
of the 'golden mean', are obtained. This is further generalized to associate m
non-negative integer sequences with a set of m given real numbers so as to
provide simple 'bifurcating continued fraction' representation of roots of
polynomial equations of degree m+1.
