Mathématiques

Question

{\ Left [\ frac {1} {1 + {\ omega} ^ {2}} + \ frac {{2+ \ omega} ^ {2}} {{\ omega} ^ {4}} \ right]} ^ {\ frac {1} {2}}
 
copy the first two lines in this site to see  the proplem :

http://s1.daumcdn.net/editor/fp/service_nc/pencil/Pencil_chromestore.html
 
or see this pic
{\ Left [\ frac {1} {1 + {\ omega} ^ {2}} + \ frac {{2+ \ omega} ^ {2}} {{\ omega} ^ {4}} \ right]} ^ {\ frac {1} {2}} copy the first two lines in this site to 

1 Réponse

  • A=√(1/(1+ω²)+(2+ω²)/ω4)
      =1/ω²√((ω^4+(2+ω²)(1+ω²)/(1+ω²))
      =1/ω²√((2ω^4+3ω²+2)/(1+ω²))