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[tex] \frac{8}{x-1} = \frac{x-1}{2} ; x∈ N\ {1}, x =?

Răspuns :

[tex] \frac{8}{x-1} = \frac{x-1}{2}\\ (x-1)*(x-1)=8*2\\ (x-1)^2=16\\ x-1=\pm \sqrt{16} \\ x-1=\pm4\\ x_1=4+1=5\in N-\{1\}\\ x_2=-4+1=-3\notin N-\{1\[/tex]Scrie răspunsul tău aici