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受欢迎的代数 >

x^3+x^2-22x-40=0

解答

x^{3} + x^{2} - 22 x - 40 = 0

解答

x = - 2, x = - 4, x = 5

求解步骤

x^{3} + x^{2} - 22 x - 40 = 0

因式分解

x^{3} + x^{2} - 22 x - 40 : (x + 2) (x + 4) (x - 5)

(x + 2) (x + 4) (x - 5) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x + 2 = 0 or x + 4 = 0 or x - 5 = 0

解

x + 2 = 0 : x = - 2

解

x + 4 = 0 : x = - 4

解

x - 5 = 0 : x = 5

解为

x = - 2, x = - 4, x = 5

作图

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