1.3х^2-7х+4=0 2.3х+1/х+2 +х-1/х-2=1

1. 3х^2 - 7х + 4 = 0;

D = (-7)^2 - 4 * 3 * 4 = 49 - 48 = 1;

x1,2 = (7 +- 1)/6;

x1 = 8/6 = 1 1/3; x2 = 6/6 = 1;

Ответ: 1; 1 1/3.

2. (3х + 1)/(х + 2) + (х - 1)/(х - 2) = 1;

(3x + 1)(x - 2) + (x - 1)(x + 2)/(x^2 - 2^2) = 1;

(3x + 1)(x - 2) + (x - 1)(x + 2) = x^2 - 4;

3x^2 - 6x + x - 2 + x^2 + 2x - x - 2 = x^2 - 4;

4x^2 - 4x - 4 = x^2 - 4;

3x^2 - 4x = 0;

x(3x - 4) = 0;

x1 = 0;  3x - 4 = 0;

3x = 4;

x = 4/3.

Ответ: 0; 4/3.