1) 9x^2 - 4 = 0 Решение: 9x^2 - 4 = 0 (3x)^2 - 2^2 = 0 (3x + 2)(3x - 2) = 0 3x + 2 = 0 or 3x - 2 = 0 3x = -2 or 3x = 2 x = -2/3 or x = 2/3
2) 0.64 - y^2 = 0 Решение: 0.64 - y^2 = 0 y^2 = 0.64 y = ±√0.64 y = ±0.8
3) 4x^2 - 2x = 0 Решение: 4x^2 - 2x = 0 2x(2x - 1) = 0 2x = 0 or 2x - 1 = 0 x = 0 or x = 1/2
4) 5x^2 - 20 = 0 Решение: 5x^2 - 20 = 0 5x^2 = 20 x^2 = 4 x = ±2
5) z^2 - 7 = 0 Решение: z^2 - 7 = 0 z^2 = 7 z = ±√7
6) 3x - 2x^2 = 0 Решение: 3x - 2x^2 = 0 2x^2 = 3x 2x = 3 x = 3/2
1) 9x^2 - 4 = 0
Решение:
9x^2 - 4 = 0
(3x)^2 - 2^2 = 0
(3x + 2)(3x - 2) = 0
3x + 2 = 0 or 3x - 2 = 0
3x = -2 or 3x = 2
x = -2/3 or x = 2/3
2) 0.64 - y^2 = 0
Решение:
0.64 - y^2 = 0
y^2 = 0.64
y = ±√0.64
y = ±0.8
3) 4x^2 - 2x = 0
Решение:
4x^2 - 2x = 0
2x(2x - 1) = 0
2x = 0 or 2x - 1 = 0
x = 0 or x = 1/2
4) 5x^2 - 20 = 0
Решение:
5x^2 - 20 = 0
5x^2 = 20
x^2 = 4
x = ±2
5) z^2 - 7 = 0
Решение:
z^2 - 7 = 0
z^2 = 7
z = ±√7
6) 3x - 2x^2 = 0
Решение:
3x - 2x^2 = 0
2x^2 = 3x
2x = 3
x = 3/2