equations 5th power and bigger solution

[shahar]

I forgotten the reason of why the equations of polynomials haven't a simple solution.
I only remember that it is connected to the group theory.
Can somebody remind me the reasons?

 

[BigBeachBanana]

I forgotten the reason of why the equations of polynomials haven't a simple solution.
I only remember that it is connected to the group theory.
Can somebody remind me the reasons?

Your question is unclear. I couldn't understand what you are asking. Can you provide an example of what you mean by "simple solution"?

 

[shahar]

I mean formula. global formula.
Thanks about the note.
Like in 2th power: ax^2 + bx + c = y
the formula is x1, x2 = ...
Why there not general formula for equations of polynomials with power 5 or greater.

 

[shahar]

Your question is unclear. I couldn't understand what you are asking. Can you provide an example of what you mean by "simple solution"?

Do I need to be more clarified?

 

[BigBeachBanana]

Do I need to be more clarified?

See this link:

Quintic Equation -- from Wolfram MathWorld

Unlike quadratic, cubic, and quartic polynomials, the general quintic cannot be solved algebraically in terms of a finite number of additions, subtractions, multiplications, divisions, and root extractions, as rigorously demonstrated by Abel (Abel's impossibility theorem) and Galois. However...

mathworld.wolfram.com