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受欢迎的代数 >

-x^3-6x^2-8x=0

解答

- x^{3} - 6 x^{2} - 8 x = 0

解答

x = 0, x = - 2, x = - 4

求解步骤

- x^{3} - 6 x^{2} - 8 x = 0

因式分解

- x^{3} - 6 x^{2} - 8 x : - x (x + 2) (x + 4)

- x (x + 2) (x + 4) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x = 0 or x + 2 = 0 or x + 4 = 0

解

x + 2 = 0 : x = - 2

解

x + 4 = 0 : x = - 4

解为

x = 0, x = - 2, x = - 4

作图

流行的例子

6^{3} - x^{3} = 0

5 y^{4} - 15 y^{2} + 4 = 0

16x^3-48x^2-200=0

16 x^{3} - 48 x^{2} - 200 = 0

i z^{3} + 8 = 0

x^{3} - 15 x - 1 = 0