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受欢迎的代数 >

k^3-4k^2-2k+8=0

解答

k^{3} - 4 k^{2} - 2 k + 8 = 0

解答

k = 4, k = - 2, k = 2

+1

十进制

k = 4, k = - 1.41421 \dots, k = 1.41421 \dots

求解步骤

k^{3} - 4 k^{2} - 2 k + 8 = 0

因式分解

k^{3} - 4 k^{2} - 2 k + 8 : (k - 4) (k + 2) (k - 2)

(k - 4) (k + 2) (k - 2) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

k - 4 = 0 or k + 2 = 0 or k - 2 = 0

解

k - 4 = 0 : k = 4

解

k + 2 = 0 : k = - 2

解

k - 2 = 0 : k = 2

解为

k = 4, k = - 2, k = 2

作图

流行的例子

x^{3} = 3 x^{2}

2x^3-24x^2+64x=0

2 x^{3} - 24 x^{2} + 64 x = 0

x^3+4x^2+8x+10=0

x^{3} + 4 x^{2} + 8 x + 10 = 0

3x(8x-9)(x^2+64)=0

3 x (8 x - 9) (x^{2} + 64) = 0

0 = x^{3} - x^{2} - 5 x + 5