решите уравнение x+1/3-x=2-x/2x+1

Вычислим х.

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

(3 - x) * (2 - x) = (x + 1) * (2 * x + 1);

3 * 2 - 3 * x - 2 * x + x^2 = 2 * x^2 + x + 2 * x + 1;

6 - 3 * x - 2 * x + x^2 = 2 * x^2 + x * (1 + 2) + 1;

x^2 - x * (3 + 2) + 6 = 2 * x^2 + 3 * x + 1;

x^2 - 5 * x + 6 = 2 * x^2 + 3 * x + 1;

2 * x^2 + 3 * x + 1 - x^2 + 5 * x - 6 = 0;

Сгруппируем подобные.

x^2 * (2 - 1) + x * (3 + 5) - 5 = 0;

x^2 + 8 * x - 5 = 0;

D = b^2 - 4 * a * c = 8^2 - 4 * 1 * (-5) = 64 + 20 = 84;

x1 = (-8 + √84) / 2 = (-8 + 2 * √21) / 2 = - 8/2 + 2/2 * √21 = - 4 + √21;

x2 = (-8 - √84) / 2 = - 8/2 - √84/2 = - 4 - 2/2 * √21 = - 4 - √21.