Решить уравнения: а) (зх+2)/(х-3)=(2х-2)/(8х+3); б)(20-зх)/(х-6)=14/(1-х);

а) (3 * х + 2)/(х - 3) = (2 * х - 2)/(8 * х + 3); 

Умножим крест на крест.

(3 * x + 2) * (8 * x + 3) = (2 * x -  2) * (x - 3); 

Скобки раскроем. 

3 * 8 * x * x + 3 * 3 * x + 2 * 8 * x + 2 * 3 = 2 * x * x - 3 * 2 * x - 2 * x + 2 * 3; 

24 * x + 9 * x + 16 * x + 6 = 2 * x - 6 * x - 2 * x + 6; 

24 * x + 25 * x + 6 = 2 * x - 8 * x + 6; 

22 * x + 17 * x = 0; 

x * (22 * x + 17) = 0; 

x = 0; 

22 * x + 17 = 0; 

x = 0; 

x = -17/22. 

б) (20 - 3 * х)/(х - 6) = 14/(1 - х); 

(20 - 3 * x) * (1 - x) = 14 * (x - 6); 

20 - 20 * x - 3 * x + 3 * x = 14 * x - 84; 

3 * x - 23 * x + 20 - 14 * x + 84 = 0; 

3 * x - 37 * x + 104 = 0; 

D = 1 369 - 4 * 3 * 104 = 121 = 11; 

x1 = (37 + 11)/6 = 48/6 = 8; 

x2 = (37 - 11)/6 = 26/6 = 13/2 = 6.5.