FISA DE LUCRU

FISA DE LUCRU (ECUATII DE GRADUL I CU O NECUNOSCUTA )1)Rezolvati in R urmatoarele ecuatii:

a)3 2(x 1)=x +5 b)3(x 1)+ 4(x 2)= 5 c)2x + 1)2- - (2x -1)2=x -5

d)2+ x -

EMBED Equation.3 (3 x)

EMBED Equation.3 = 1 e) = f)x - = x+ 32)Rezolvati in Z :a)5x -2= 7x -4 b) - = c)(x +1)(x +3) =(x+2)(x +4)d) -2 =4+ e) 2 =2 f)(2x +3)2= (3x -1)(3x +1)

3)Rezolvati in R ecuatiile:

a) =1 b) =5 c) =2 d) =

4) Rezolvati si analizati toate cazurile posibile in functie de parametrul real m pentru ecuatiile:

a)(m +1)x - 2x +3 =0 b)(2m +1)x +1 = 3x m +2 c)x-1 - m(x -2) = m +1

d)(3m -1)x = 9m2 -1 e)(2m +5) x +25 4m2 = 0 f)(m2 +1) x = m2 +1

g)(m2 1)x = 3x + 2(m +2) h) + =3 i) - =35) Aflati cel mai mic numar natural a pentru care urmatoarele ecuatii au solutii in Z:

a)4x -2 =x+ a b)1 x (1 -3x) =3a +5 c) 3x -2 = 1 (2x a)

d)2x +1 (2 -3x) =3x (1 a) e)5x +3 - 2(3a -1) =4 (2x -5) -3 (2a +5)

6)Fie ecuatia : (2m +1) x 4m +3 =0

a) determinati mZ astfel incat ecuatia sa admita solutii in Z .b) Pentru ce valori ,numere intregi ale lui m , solutiile ecuatiei sunt numere intregi si x ?7) Sa se rezolve ecuatia : + = in cazurile : m =2 si m =.

8)Se da ecuatia : mx +2m =x -5

a) sa se afle m R astfel incat ecuatia sa aiba solutia 3.b)sa se afle m R astfel incat ecuatia data sa fie echivalenta cu ecuatia :

= 1 + ._1224567617.unknown

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