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受欢迎的代数 >

根 x^3-6x^2+11x-6

解答

根

x^{3} - 6 x^{2} + 11 x - 6

解答

x = 1, x = 2, x = 3

求解步骤

x^{3} - 6 x^{2} + 11 x - 6

根与 X 轴相交

(y = 0)

x^{3} - 6 x^{2} + 11 x - 6 = 0

因式分解

x^{3} - 6 x^{2} + 11 x - 6 : (x - 1) (x - 2) (x - 3)

(x - 1) (x - 2) (x - 3) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x - 1 = 0 or x - 2 = 0 or x - 3 = 0

解

x - 1 = 0 : x = 1

解

x - 2 = 0 : x = 2

解

x - 3 = 0 : x = 3

解为

x = 1, x = 2, x = 3

作图

流行的例子

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10x^9-9x^{10}=0.75

10 x^{9} - 9 x^{10} = 0.75

(2z-i)^3=3sqrt(3)

(2 z - i)^{3} = 33

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