Ответ:
Объяснение:
1) x^3 - 4x = 0 x(x^2 - 4)=0x(x - 2)(x + 2) = 0x = 0, x = 2, x = -22)x^4 - x^2 = 0x^2(x^2 - 1) = 0x^2(x-1)(x + 1)= 0x = 0, x = 1, x = -15) x^3 - 10x^2 + 25x = 0x(x^2 - 10x + 25) = 0D = 100 - 25 * 4 = 0x = 10/2 = 5x(x-5)^2 = 0x = 0, x = 56) x^3 + 2x^2 - 9x - 18 = 0x^2(x + 2) - 9(x + 2)= 0(x+2)(x^2 - 9) = 0(x + 2)(x - 3)(x+3) = 0x = -2, x = 3, x = -3
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Answers & Comments
Ответ:
Объяснение:
1) x^3 - 4x = 0
x(x^2 - 4)=0
x(x - 2)(x + 2) = 0
x = 0, x = 2, x = -2
2)x^4 - x^2 = 0
x^2(x^2 - 1) = 0
x^2(x-1)(x + 1)= 0
x = 0, x = 1, x = -1
5) x^3 - 10x^2 + 25x = 0
x(x^2 - 10x + 25) = 0
D = 100 - 25 * 4 = 0
x = 10/2 = 5
x(x-5)^2 = 0
x = 0, x = 5
6) x^3 + 2x^2 - 9x - 18 = 0
x^2(x + 2) - 9(x + 2)= 0
(x+2)(x^2 - 9) = 0
(x + 2)(x - 3)(x+3) = 0
x = -2, x = 3, x = -3