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受欢迎的代数 >

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

解答

x^{2} - (x - 1)^{3} = 1

解答

x = 0, x = 1, x = 3

求解步骤

x^{2} - (x - 1)^{3} = 1

展开

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

- x^{3} + 4 x^{2} - 3 x + 1 = 1

将

1

para o lado esquerdo

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

因式分解

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

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

解

x - 1 = 0 : x = 1

解

x - 3 = 0 : x = 3

解为

x = 0, x = 1, x = 3

作图

流行的例子

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

x^{8} - 15 x^{4} - 16 = 0

- 2 x^{4} + 7 = 2 x + 5

(x+1)(2x-1)^2=1

(x + 1) (2 x - 1)^{2} = 1

x^{3} + 16 x = 0