Re: Equation complexe

Op 26/02/2025 om 18:53 schreef Richard Hachel:

Le 26/02/2025 à 13:11, sobriquet a écrit :

Op 26/02/2025 om 05:12 schreef sobriquet:

 

g(x) = x^4 + 9/4

 

https://www.desmos.com/calculator/4mhohrcxlg

 ? ? ?
 h(x)=-x^4+(9/4)
 Racines réelles h(x)---->  x'=-sqrt(3/2) et x"=sqrt(3/2)
 Complexes roots of g(x) : x'=sqrt(3/2)i  and x"=-sqrt(3/2)i
  R.H.
 

You started the thread with the equation x^4=-81, but
I've picked the equation x^4=-9/4 instead, since that means
the graph is closer to the complex roots when I visualize it in
desmos.
The polynomial g(x)= x^4 + 9/4 is equivalent to the equation x^4=-9/4.