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受欢迎的代数 >

x^3-11x^2-16x+176=0

解答

x^{3} - 11 x^{2} - 16 x + 176 = 0

解答

x = 11, x = - 4, x = 4

求解步骤

x^{3} - 11 x^{2} - 16 x + 176 = 0

因式分解

x^{3} - 11 x^{2} - 16 x + 176 : (x - 11) (x + 4) (x - 4)

(x - 11) (x + 4) (x - 4) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x - 11 = 0 or x + 4 = 0 or x - 4 = 0

解

x - 11 = 0 : x = 11

解

x + 4 = 0 : x = - 4

解

x - 4 = 0 : x = 4

解为

x = 11, x = - 4, x = 4

作图

流行的例子

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12 x^{3} + 24 x^{2} - 96 x = 0

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(x^{2} + x + 6) (x^{2} + x - 4) = 144

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