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受欢迎的代数 >

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

解答

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

解答

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

+1

十进制

x = 1, x = 0.73205 \dots, x = - 2.73205 \dots

求解步骤

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

因式分解

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

(x - 1) (x^{2} + 2 x - 2) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

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

解

x - 1 = 0 : x = 1

解

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

解为

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

作图

流行的例子

z^{5} = i

2 x^{3} = 16

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

x^{4} - i = 0

4 x = x^{3}