Question

Exercitiul 10???????

Answer 1

Răspuns:

Explicație:

7x + 7 = 7(x + 1)

x^2 + 3x + 2 = x^2 + x + 2x + 2 = x(x + 1) + 2(x + 1) = (x + 1)(x + 2)

7(x + 1)/(x + 1)(x + 2) = 7/(x + 2)

5/(2 - x) = -5/(x - 2)

x^2 - 4 = (x + 2)(x - 2)

Numitorul comun in paranteza este (x + 2)(x - 2)

7/(x + 2) - 5/(x - 2) + 6/(x + 2)(x - 2) = [7(x - 2) - 5(x + 2) + 6]/((x +2)(x - 2) =

= (7x - 14 -5x -10 + 6)/(x + 2)(x - 2) = (2x - 18) / (x^2 - 4) = 2(x - 9)/(x^2 - 4)

2(x - 9)/(x^2 - 4) : (x - 9)/(x^2 - 4) = 2(x - 9)/(x^2 - 4) * (x^2 - 4)/(x - 9) = 2

E(m) = 2m + 3 = 2

2m = 2 - 3 = -1

m = -1/2