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Se considera expresia E(x)=(x²+4x+3)*(1supra x+1 - 1supra x+3):2supra x
a)Rezolvati ecuatia x²+4x+3=0
b)Aratati ca E(x)=x

Răspuns :

Renatemambouko
a)Rezolvati ecuatia x²+4x+3=0
x²+4x+3=0
x²+4x+4-1=0
(x+2)²-1=0
(x+2+1)(x+2-1)=0
(x+3)(x+1)=0
x+3=0  ⇒x=-3
x+1=0  ⇒x=-1



 b)Aratati ca E(x)=x
E(x)=(x²+4x+3)*[(1/(x+1) - 1/(x+3)]:2/ x=
=(x+3)(x+1)*(x+3-x-1)/(x+1)(x+3):2/x=
=2:2/x=2 × x/2= x







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