Решите уровнение. 1) х2-9=02) х2 - (х-4) (х+4) = 4 х3) 4 (х+3) 2 - (2 х-2) (2 х+2) = 164) - (3 х-4) 2+9 х (х+2) = 110

1) х² - 9 = 0;

Разложим на множители.

x² - 3² = 0;

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

{ x - 3 = 0;

x + 3 = 0;

{ x = 3;

x = - 3.

2) х² - (х - 4) * (х + 4) = 4 * х;

x² - (x² - 4²) = 4 * x;

x² - (x² - 16) = 4 * x;

x² - x² + 16 = 4 * x;

4 * x = 16;

x = 4.

3) 4 * (х + 3) ² - (2 * х - 2) * (2 * х + 2) = 16;

4 * (x² + 6 * x + 9) - (4 * x² - 4) = 16;

4 * x² + 24 * x + 36 - 4 * x² + 4 = 16;

24 * x + 36 + 4 = 16;

24 * x + 40 = 16;

24 * x = 16 - 40;

24 * x = - 24;

x = - 24/24;

x = - 1.

4) - (3 * х - 4) ² + 9 * х * (х + 2) = 110;

- (9 * x² - 24 * x + 16) + 9 * x² + 18 * x = 110;

24 * x - 16 + 18 * x = 110;

42 * x = 110 + 16;

x = 126/42;

x = 3.