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ioana12
Pe: 2008-03-23T10:26:02+02:00 In: In:

va rog ajutati-ma sa inteleg

1 . Determinati x apartine Z stiind ca :
-3x+1/x+3 apartine Z
7x/x+2 apartine Z
4x-30/2x+1 apartine N
(x+5)(x-2)=18
x+2/x+1 apartine Z
-6/x-2 apatine N

2 . Se dau multimile : A={x apartine Z/ x= 3n+7/3n+1,n apatine Z} ,
B = {x apartine Z/x=M+5/M-1 , m apartine Z } .Calculati AUB , A/B , B/A .

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2 raspunsuri

  1. marius00

    O sa-ti prezint metoda generala de rezolvare si o sa-ti rezolv primul exercitiu

        \[ \begin{array}{l} \frac{{ax + b}}{{cx + d}} = \frac{{e(cx + d) + f}}{{cx + d}} = e - \frac{f}{{cx + d}},a = ec,f = b - ed \\ unde - cx + d - este - egal - cu - divizorii - lui - f \\ \frac{{ - 3x + 1}}{{x + 3}} = \frac{{ - 3(x + 3) + 10}}{{x + 3}} = - 3 + \frac{{10}}{{x + 3}} \in Z = > \frac{{10}}{{x + 3}} \in Z = > \\ x + 3 = D_{10} ;D_{10} = \{ \pm 1, \pm 2, \pm 5, \pm 10\} \\ x + 3 = - 10 = > x = - 13 \in Z \\ x + 3 = - 5 = > x = - 8 \in Z \\ x + 3 = - 2 = > x = - 5 \in Z \\ x + 3 = - 1 = > x = - 4 \in Z \\ x + 3 = 1 = > x = - 2 \in Z \\ x + 3 = 2 = > x = - 1 \in Z \\ x + 3 = 5 = > x = 2 \in Z \\ x + 3 = 10 = > x = 7 \in Z \\ x = \{ - 13, - 8, - 5, - 4, - 2, - 1,2,7\} \\ \end{array} \]

    Restul se rezolva la fel
    Succes!

  2. ioana12

    ITI MULTUMESC MULT .

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