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受欢迎的代数 >

x^3+6x^2+4x+24=0

解答

x^{3} + 6 x^{2} + 4 x + 24 = 0

解答

x = - 6, x = 2 i, x = - 2 i

求解步骤

x^{3} + 6 x^{2} + 4 x + 24 = 0

因式分解

x^{3} + 6 x^{2} + 4 x + 24 : (x + 6) (x^{2} + 4)

(x + 6) (x^{2} + 4) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x + 6 = 0 or x^{2} + 4 = 0

解

x + 6 = 0 : x = - 6

解

x^{2} + 4 = 0 : x = 2 i, x = - 2 i

解为

x = - 6, x = 2 i, x = - 2 i

作图

流行的例子

x^3-2x^2-x+7=x^2-3x+7

x^{3} - 2 x^{2} - x + 7 = x^{2} - 3 x + 7

a^{3} - 3 a - 2 = 0

2 x^{3} - 3 x = 0

x^{3} - 20 = 7

x^{2} (x - 7) = 0