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受欢迎的代数 >

x^3-4x^2-25x=-100

解答

x^{3} - 4 x^{2} - 25 x = - 100

解答

x = 4, x = - 5, x = 5

求解步骤

x^{3} - 4 x^{2} - 25 x = - 100

将

100

para o lado esquerdo

x^{3} - 4 x^{2} - 25 x + 100 = 0

因式分解

x^{3} - 4 x^{2} - 25 x + 100 : (x - 4) (x + 5) (x - 5)

(x - 4) (x + 5) (x - 5) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x - 4 = 0 or x + 5 = 0 or x - 5 = 0

解

x - 4 = 0 : x = 4

解

x + 5 = 0 : x = - 5

解

x - 5 = 0 : x = 5

解为

x = 4, x = - 5, x = 5

作图

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