Решите уравнение (4-3x)^2=25

(4 - 3x)^2 = 25;

16 - 24x + 9x^2 = 25;

16 - 24x + 9x^2 - 25 = 0;

9x^2 - 24x - 9 = 0;

3x^2 - 8x - 3 = 0;

D = b^2 - 4ac;

D = (- 8)^2 - 4 * 3 * (- 3) = 64 + 36 = 100; D = 100 = 10;

x = (- b D)/(2a);

x1 = (8 + 10)/(2 * 3) = 18/6 = 3;

x2 = (8 - 10)/(2 * 3) = -2/6 = -1/3.

Ответ. -1/3; 3.