#1**+15 **

Best Answer

There is no general analytical solution for quintic algebraic equations, but a Newton-Raphson numerical method can be used:

So s ≈ -1.253462

There are four other solutions as well, but these are all complex.

.

Alan
Aug 14, 2015

#2**+10 **

Here's the graph.......https://www.desmos.com/calculator/t1f4fhif21

[Desmos shows the root to be -1.25......Alan's answer is closer to the truth....!!! ]

CPhill
Aug 14, 2015