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受欢迎的代数 >

-a^3+4a^2-3a=0

解答

- a^{3} + 4 a^{2} - 3 a = 0

解答

a = 0, a = 1, a = 3

求解步骤

- a^{3} + 4 a^{2} - 3 a = 0

因式分解

- a^{3} + 4 a^{2} - 3 a : - a (a - 1) (a - 3)

- a (a - 1) (a - 3) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

a = 0 or a - 1 = 0 or a - 3 = 0

解

a - 1 = 0 : a = 1

解

a - 3 = 0 : a = 3

解为

a = 0, a = 1, a = 3

作图

流行的例子

12x^5-8x^4-12x+8=0

12 x^{5} - 8 x^{4} - 12 x + 8 = 0

2 x^{3} + x = 4

- x^{3} + 2 x + 1 = 0

x^3+6x^2-13x-78=0

x^{3} + 6 x^{2} - 13 x - 78 = 0

x^{4} - 4 x^{2} + 7 = 0