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受欢迎的代数 >

x^3-8x^2-9x+72=0

解答

x^{3} - 8 x^{2} - 9 x + 72 = 0

解答

x = 8, x = - 3, x = 3

求解步骤

x^{3} - 8 x^{2} - 9 x + 72 = 0

因式分解

x^{3} - 8 x^{2} - 9 x + 72 : (x - 8) (x + 3) (x - 3)

(x - 8) (x + 3) (x - 3) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x - 8 = 0 or x + 3 = 0 or x - 3 = 0

解

x - 8 = 0 : x = 8

解

x + 3 = 0 : x = - 3

解

x - 3 = 0 : x = 3

解为

x = 8, x = - 3, x = 3

作图

流行的例子

a^{3} - 9 a^{2} + 14 a = 0

(+ x^{2}) (x - 5) = 1

x^4-12x^3+36x^2=0

x^{4} - 12 x^{3} + 36 x^{2} = 0

x^{4} + 24 = 14 x^{2}

3 x^{3} = x