Решить уравнения:1) 10 x^2 +5 х=02) 12 x^2 +3х=03) 25-100 x^2

Найдем корешки.

1) 10 * x^2 + 5 * х = 0;

Вынесем за скобки общий множитель.

5 * x * (2 * x + 1) = 0;

5 * x = 0;

2 * x + 1 = 0;

x = 0;

2 * x = -1;

x = 0;

x = -1/2;

x = 0;

x = -0.5.

2) 12 * x^2 + 3 * х = 0;

3 * x * (4 * x + 1) = 0;

x = 0;

4 * x + 1 = 0;

x = 0;

4  * x = -1;

x = 0;

x = -1/4;

x = 0;

x = -0.25.

3) 25 - 100 * x^2 = 0;

5^2 - (10 * x)^2 = 0;

(5 - 10 * x) * (5 + 10 * x) = 0;

5 - 10 * x = 0;

5 + 10 * x = 0;

10 * x = 5;

10 * x = -5;

x = 5/10;

x = -5/10;

x = 0.5;

x = -0.5.

4) 4 - 36 * x^2 = 0;

(2 - 6 *x) * (2 + 6 * x) = 0;

6 * x = 2;

6 * x = -2;

x = 1/3;

x = -1/3.

5) 2 * x^2 - 14 = 0; 

2 * x^2  = 14; 

x^2 = 7; 

x = +7^0.5; 

x = -7^0.5.