Решите неполные квадратные уравнения: 1) 2X+3X^2=0 2) 0.76X^2-50=2.1X-50 3) X^2-2X=0 4) X^2-4X=0 5) X^2+6X=0

Вычислим корни:

1) 2 * X + 3 * X^2 = 0;

3 * x^2 + 2 * x = 0;

x * (3 * x + 2) = 0;

{ x = 0;

3 * x + 2 = 0;

{ x = 0;

3 * x = - 2;

{ x = 0;

x = - 2/3;

Ответ: х = 0 и х = - 2/3.

2) 0.76 * x^2 - 50 = 2.1 * x - 50;

0.76 * x^2 - 2.1 * x - 50 + 50 = 0;

0.76 * x^2 - 2.1 * x = 0;

x * (0.76 * x - 2.1) = 0;

{ x = 0;

0.76 * x - 2.1 = 0;

{ x = 0;

0.76 * x = 2.1;

{ x = 0;

x = 210/76.

3) x^2 - 2 * x = 0;

x * (x - 2) = 0;

{ x = 0;

x - 2 = 0;

{ x = 0;

x = 2.

4) x^2 - 4 * x = 0;

x * (x - 4) = 0;

{ x = 0;

x - 4 = 0;

{ x = 0;

x = 4.

5) x^2 + 6 * x = 0;

x * (x + 6) = 0;

{ x = 0;

x + 6 = 0;

{ x = 0;

x = - 6.