1.3 х^2-7 х+4=0 2.3 х+1/х+2 + х-1/х-2=1

1. 3 х^2 - 7 х + 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. (3 х + 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.