a) 9x² - 4 = 09x² = 4x² = 4/9x = ±√(4/9)x = ±(2/3)
б) 2x² = 3x2x² - 3x = 0x(2x - 3) = 0x = 0 or x = 3/2
в) 2 = 7x² + 27x² = 0x² = 0x = 0
г) (2x+1)(x-4) = (x-2)(x+2)2x² - 8x + x - 4 = x² + 2x - 2x - 4 + 42x² - 7x - 4 = x² - 42x² - x² - 7x + 4 = -4x² - 7x + 8 = 0(x - 1)(x - 8) = 0x = 1 or x = 8
Ответ:а) x = ±(2/3)б) x = 0 или x = 3/2в) x = 0г) x = 1 или x = 8
a) 9x² - 4 = 0
9x² = 4
x² = 4/9
x = ±√(4/9)
x = ±(2/3)
б) 2x² = 3x
2x² - 3x = 0
x(2x - 3) = 0
x = 0 or x = 3/2
в) 2 = 7x² + 2
7x² = 0
x² = 0
x = 0
г) (2x+1)(x-4) = (x-2)(x+2)
2x² - 8x + x - 4 = x² + 2x - 2x - 4 + 4
2x² - 7x - 4 = x² - 4
2x² - x² - 7x + 4 = -4
x² - 7x + 8 = 0
(x - 1)(x - 8) = 0
x = 1 or x = 8
Ответ:
а) x = ±(2/3)
б) x = 0 или x = 3/2
в) x = 0
г) x = 1 или x = 8