Решите Уравнения: 1. х+2,6=3,4 2. 6 х=1,2 3. 3 х-8=15 4. 6 х-2 (4 х-1) = 7 5. 0,2 х-0,1 (2 х-6) = 0,6 6. х^2=4 7. 5x^2=10 8. x^2-8x=0 9. 3x^2-2x+4=0 10. 5x^2+2x-3=0

Найдем корни.

1. х + 2,6 = 3,4;

x = 3.4 - 2.6;

x = 0.4 + 0.4;

x = 0.8.

2. 6 * х = 1,2;

x = 1.2/6;

x = 0.2.

3. 3 * х - 8 = 15;

3 * x = 15 + 8;

3 * x = 23;

x = 23/3.

4. 6 * х - 2 * (4 * х - 1) = 7;

6 * x - 8 * x + 2 = 7;

-2 * x = 5;

x = - 2.5.

5. 0,2 * х - 0,1 * (2 * х - 6) = 0,6;

0.2 * x - 0.2 * x + 0.6 = 0.6;

0 * x = 0;

Любые корни.

6. х^2 = 4;

x = 2;

x = - 2.

7. 5 * x^2 = 10;

x = 10/5;

x^2 = 2;

x = √2;

x = - √2.

8. x^2 - 8 * x = 0;

x * (x - 8) = 0;

{ x = 0;

x = 8.

9. 3 * x^2 - 2 * x + 4 = 0;

D = 4 - 4 * 3 * 4 = 4 - 48 = - 44;

Нет корней.

10. 5 * x^2 + 2 * x - 3 = 0;

D = 4 - 4 * 5 * (-3) = 64;

x1 = (-2 + 8) / 10 = 6/10 = 3/5 = 0.6;

x2 = (-2 - 8) / 10 = - 1.