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x^2 +5/x^2-4x+4 : x^2+7x+10/x^2-4

Răspuns :

=[(x²+5)/(x-2)²]:[(x+2)(x+5)/(x-2)(x+2)] simplificam a II fractie cux+2
=[(x²+5)/(x-2)²]:[(x+5)/(x-2)]=
=[(x²+5)/(x-2)²]·[(x-2)/(x+5)] simplificam cu x-2
=(x²+5)/(x-2)(x+5)
cond x≠2 si x≠-5
x²+5=0
x²=-5
x∈Ф