Răspuns:
[tex](\frac{x+1)2}{x-2}-\frac{x-2)2}{x+1}):\frac{2}{x(x+1)(x-2)} =\frac{2x+2-2x+4}{(x+1)(x-1)} *\frac{x(x+1)(x-2)}{2} =\frac{6x}{2} =3x[/tex]
x∈Z ⇒ A(x)∈Z
A(x)(2-√5)=3x(2-√5)=6x-3x√5
√5∉Q ⇒ 6x-3x√5∉Q ⇒A(x)(2-√5)
Explicație pas cu pas:
