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Determinati numerele reale a si b daca [tex](x+1)ori(x-1)ori(x+2)ori(x-2)= x^{4}+a x^{2} +b[/tex]

Răspuns :

(x+1)(x-1)=x²-1
(x+2)(x-2)=x²-4
(x²-1)(x²-4)=x^4-4x²-x²+4=x^4-3x²+4=>a=3,b=4