а) 9a^2 - (b^2 + c^2)^2 = (3a - b^2 - c^2)(3a + b^2 + c^2)
б) (2x + 3)^2 - (x - 1)^2 = (2x + 3 + x - 1)(2x + 3 - x + 1) = (3x + 2)(x + 4)
а) x^2 - 0.09 = 0x^2 = 0.09x = ±√0.09x = ±0.3
б) 16c^2 - 49 = 016c^2 = 49c^2 = 49/16c = ±√(49/16)c = ±7/4
в) 4x^2 - (x + 1)^2 = 04x^2 - x^2 - 2x - 1 = 03x^2 - 2x - 1 = 0(3x + 1)(x - 1) = 0x = -1/3, 1
г) (3b - 2)^2 - (b + 1)^2 = 09b^2 - 12b + 4 - b^2 - 2b - 1 = 08b^2 - 14b + 3 = 0(4b - 1)(2b - 3) = 0b = 1/4, 3/2
а) 9a^2 - (b^2 + c^2)^2 = (3a - b^2 - c^2)(3a + b^2 + c^2)
б) (2x + 3)^2 - (x - 1)^2 = (2x + 3 + x - 1)(2x + 3 - x + 1) = (3x + 2)(x + 4)
а) x^2 - 0.09 = 0
x^2 = 0.09
x = ±√0.09
x = ±0.3
б) 16c^2 - 49 = 0
16c^2 = 49
c^2 = 49/16
c = ±√(49/16)
c = ±7/4
в) 4x^2 - (x + 1)^2 = 0
4x^2 - x^2 - 2x - 1 = 0
3x^2 - 2x - 1 = 0
(3x + 1)(x - 1) = 0
x = -1/3, 1
г) (3b - 2)^2 - (b + 1)^2 = 0
9b^2 - 12b + 4 - b^2 - 2b - 1 = 0
8b^2 - 14b + 3 = 0
(4b - 1)(2b - 3) = 0
b = 1/4, 3/2