1) 16x - x^3 = x(16 - x^2) = x = 0, √16 = 4, -√16 = -4
Ответ: x = 0, x = 4, x = -4
2) 6x^4 - 24x^2 = 6x^2(x^2 - 4) = 6x^2(x + 2)(x - 2) = 0
Ответ: x = 0, x = -2, x = 2
3) (x + 1)x^2 - 4(x + 1) = (x + 1)(x^2 - 4) = (x + 1)(x + 2)(x - 2) = 0
Ответ: x = -1, x = 2, x = -2
4) y^3 - y^2 = 25y - 2y^3 - y^2 - 25y + 25 = y^2(y - 1) - 25(y - 1) = (y - 1)(y^2 - 25) = (y - 1)(y - 5)(y + 5) = 0
Ответ: y = 1, y = -5, y = 5
1) 16x - x^3 =
x(16 - x^2) =
x = 0, √16 = 4, -√16 = -4
Ответ: x = 0, x = 4, x = -4
2) 6x^4 - 24x^2 =
6x^2(x^2 - 4) =
6x^2(x + 2)(x - 2) = 0
Ответ: x = 0, x = -2, x = 2
3) (x + 1)x^2 - 4(x + 1) =
(x + 1)(x^2 - 4) =
(x + 1)(x + 2)(x - 2) = 0
Ответ: x = -1, x = 2, x = -2
4) y^3 - y^2 = 25y - 2
y^3 - y^2 - 25y + 25 =
y^2(y - 1) - 25(y - 1) =
(y - 1)(y^2 - 25) =
(y - 1)(y - 5)(y + 5) = 0
Ответ: y = 1, y = -5, y = 5