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determinatii pe x di ecuatia x+2inmultit x+3inmultit x+...+50inmultit x0 egal cu 3825
dau coroana+5 stele




Răspuns :

[tex]\it x+2\cdot x+3\cdot x+\ ...\ +50\cdot x=3825 \Rightarrow x\cdot (1+2+3+\ ...\ +50)=3825\Rightarrow\\ \\ \Righgtarrow \Rightarrow x\cdot \dfrac{50\cdot51}{2}=3825 \Rightarrow x \cdot25\cdot51=3825\Rightarrow x=\dfrac{3825^{(25}}{25\cdot51} =\dfrac{153}{51}=3[/tex]

X 1+2+3+50 = 3825 X(3+53)=3825 X•56 = 3825 X =3825 : 56 = X=68