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受欢迎的代数 >

x^3-3x^2-8x+24=0

解答

x^{3} - 3 x^{2} - 8 x + 24 = 0

解答

x = 3, x = - 22, x = 22

+1

十进制

x = 3, x = - 2.82842 \dots, x = 2.82842 \dots

求解步骤

x^{3} - 3 x^{2} - 8 x + 24 = 0

因式分解

x^{3} - 3 x^{2} - 8 x + 24 : (x - 3) (x + 22) (x - 22)

(x - 3) (x + 22) (x - 22) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x - 3 = 0 or x + 22 = 0 or x - 22 = 0

解

x - 3 = 0 : x = 3

解

x + 22 = 0 : x = - 22

解

x - 22 = 0 : x = 22

解为

x = 3, x = - 22, x = 22

作图

流行的例子

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

12x^3-30x^2+12x=0

12 x^{3} - 30 x^{2} + 12 x = 0

10x+0.5x^2-0.001x^3-5000=0

10 x + 0.5 x^{2} - 0.001 x^{3} - 5000 = 0

24 x^{3} - 3 = 0

x^4+62x^2+128x+65=0

x^{4} + 62 x^{2} + 128 x + 65 = 0