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Aflati x in baza zece din: x0(cu bara deasupra)=5*x*(164-2*x²)

Răspuns :

[tex]\overline{x0}=5x(164-2x^2) \Rightarrow 10x=5x(164-2x^2)|_{:(5x)}\Rightarrow 2 = 164-2x^2 \Rightarrow \\\;\\ \Rightarrow 2x^2=164-2\Rightarrow 2x^2=162|_{:2}\Rightarrow x^2 =81 \Rightarrow x = 9 \\\;\\ . [/tex]