INDETERMINATE QUARTIC EQUATIONS 75 

 which is an algebraical solution of the equation 



where X, n, v l9 v^> v a , . . ., v r are arbitrary coefficients, positive 

 or negative, which are unrestricted except that \ and jx are 

 both finite, and the v& do not all vanish a result of consider- 

 able generality. 



