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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 = 2.73205 \dots, x = - 0.73205 \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

48x-16=3x^3-x^2

48 x - 16 = 3 x^{3} - x^{2}

x^{3} + 25 x = 0

x^{3} - 7.5 = 0

x^{4} - 6 x^{2} + 7 = 0

3(x^2-49)(36x^2-49)=0

3 (x^{2} - 49) (36 x^{2} - 49) = 0