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受欢迎的代数 >

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

解答

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

解答

x = 3, x = - 1, x = 1

求解步骤

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

交换两边

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

因式分解

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

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

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x - 3 = 0 or x + 1 = 0 or x - 1 = 0

解

x - 3 = 0 : x = 3

解

x + 1 = 0 : x = - 1

解

x - 1 = 0 : x = 1

解为

x = 3, x = - 1, x = 1

作图

流行的例子

x = x^{3} + 1

\frac{256}{3125} x^{5} = 1

4c^3+24c^2-64c=0

4 c^{3} + 24 c^{2} - 64 c = 0

3 = n^{3} - 3 n^{2} + n

n^{2} + n^{3} = - 180