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sa se rezolve ecuatia cu parte intreaga: 3[x]²-5[x]-2=0

Răspuns :

Notam [x]=t.
[tex]3t^2-5t-2=0\\ \triangle=49\\ t_{1/2}= \frac{5\pm7}{6} \\ t_1=2\in Z\\ t_2=- \frac{1}{3} \notin Z\\[/tex]
[tex][x]=2\\ 2\leq x<3\\ x\in[2;3)[/tex]