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受欢迎的代数 >

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

解答

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

解答

x = 0, x = 1, x = 2

求解步骤

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

因式分解

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

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

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

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

解

x - 1 = 0 : x = 1

解

x - 2 = 0 : x = 2

解为

x = 0, x = 1, x = 2

作图

流行的例子

(x^2-x-3)^2-x^3=17

(x^{2} - x - 3)^{2} - x^{3} = 17

(2x^2-5)^2=39+10(2x^2-5)

(2 x^{2} - 5)^{2} = 39 + 10 (2 x^{2} - 5)

z^{5} = 14

3x^4-2x^3-27245+69x-9x^2=348062x+2

3 x^{4} - 2 x^{3} - 27245 + 69 x - 9 x^{2} = 348062 x + 2

m^3+2m^2-5m-6=0

m^{3} + 2 m^{2} - 5 m - 6 = 0