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受欢迎的代数 >

D^4+2D^3-11D^2-12D=0

解答

D^{4} + 2 D^{3} - 11 D^{2} - 12 D = 0

解答

D = 0, D = - 1, D = 3, D = - 4

求解步骤

D^{4} + 2 D^{3} - 11 D^{2} - 12 D = 0

因式分解

D^{4} + 2 D^{3} - 11 D^{2} - 12 D : D (D + 1) (D - 3) (D + 4)

D (D + 1) (D - 3) (D + 4) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

D = 0 or D + 1 = 0 or D - 3 = 0 or D + 4 = 0

解

D + 1 = 0 : D = - 1

解

D - 3 = 0 : D = 3

解

D + 4 = 0 : D = - 4

解为

D = 0, D = - 1, D = 3, D = - 4

作图

流行的例子

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