solving polynomial

[knrao]

Hi
I need help to solve the polynomial equation
27X4+4KX-K=0 (K=0.9715)
Any one can help me
Thanks
Rao

[dextercioby]

1.Use the alogorithm for solving a quartic.
2.Use a computer.

2.

27x^4+\allowbreak 3.\,886x-0.9715=0

Solution is : \left\{ x\simeq .\,17958\,83748\,64723\,92446\,37443\,25198+.\,482 29\,37667\,81214\,05384\,75340\,03169i\right\} ,

\allowbreak \left\{ x\simeq .\,17958\,83748\,64723\,92446\,37443\,25198-.\,48229\,37667\,81214\,05384\,75340\,03169i\right \} ,\allowbreak

\left\{ x\simeq .\,23041\,56601\,18966\,06539\,90038\,76249\right\ } ,

\allowbreak \left\{ x\simeq -.\,58959\,24098\,48413\,91432\,64925\,26645\right\ }

Daniel.