Решите уравнение: 1) (a-8) (a+12) = 0 2) m^2-0,25=0 3) 9x^2-64=0 4) b^2+36=0 5) 4x^2-9=0 6) x^2-16=0 7) 1/2-y^2=0 8) x^2-9/25=0 9) 81a^2+1=0 10) 49/81m^2-1=0

Найдем корни уравнений.

1) (a - 8) * (a + 12) = 0;

{ a - 8 = 0;

a + 12 = 0;

{ a = 8;

a = - 12.

2) m² - 0,25 = 0;

m² = 0.25;

m = 0.5;

m = - 0.5.

3) 9 * x² - 64 = 0;

(3 * x) ² - 8² = 0;

(3 * x - 8) * (3 * x + 8) = 0;

{ 3 * x = 8;

3 * x = - 8;

{ x = 8/3;

x = - 8/3.

4) b² + 36 = 0;

b² = - 36;

Нет корней.

5) 4 * x² - 9 = 0;

4 * x² = 9;

x² = 9/4;

x = + -3/2;

6) x² - 16 = 0;

x² = 16;

x = + -4;

7) 1/2 - y² = 0;

y² = 1/2;

y = + - (1/2) ^ (1/2);

8) x² - 9/25 = 0;

x² = 9/25;

x = + -3/5;

9) 81 * a² + 1 = 0;

81 * a² = - 1;

a² = - 1/81;

Нет корней.

10) 49/81 * m² - 1 = 0;

49/81 * m² = 1;

m² = 1 / (49/81);

m² = 81/49;

m = + -9/7.