THEORY OF EQUATIONS. 

 916. Prove that 



193 



1-n, 1, 1, 1 =0; n being the order of 



1, 1-n, 1, 1 the determinant 



1, 1, 1-n, 1 



1, 1, 1-n 



917. Prove that 



x, 1, 1, 1 =(x-l)*~ l (x + n-l); nbe- 



11 * UH; th order of the deter- 



A t * i 



miuant 

 1> 1> x > 



1, l v 1, 



918. Prove that 



** 



1, 1, i, 



a-,, jr f , ...... *. being the roots of the equnt 



Prove 



x',^, < 



*",,', -c"" 1 





= (-1) ' *" (*-!)"' 



13 



