zs

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

受欢迎的代数 >

(x-2)(x-1)(x)=3360

解答

(x - 2) (x - 1) (x) = 3360

解答

x = 16, x = - \frac{13}{2} + i \frac{671}{2}, x = - \frac{13}{2} - i \frac{671}{2}

求解步骤

(x - 2) (x - 1) (x) = 3360

展开

(x - 2) (x - 1) (x) : x^{3} - 3 x^{2} + 2 x

x^{3} - 3 x^{2} + 2 x = 3360

将

3360

para o lado esquerdo

x^{3} - 3 x^{2} + 2 x - 3360 = 0

因式分解

x^{3} - 3 x^{2} + 2 x - 3360 : (x - 16) (x^{2} + 13 x + 210)

(x - 16) (x^{2} + 13 x + 210) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x - 16 = 0 or x^{2} + 13 x + 210 = 0

解

x - 16 = 0 : x = 16

解

x^{2} + 13 x + 210 = 0 : x = - \frac{13}{2} + i \frac{671}{2}, x = - \frac{13}{2} - i \frac{671}{2}

解为

x = 16, x = - \frac{13}{2} + i \frac{671}{2}, x = - \frac{13}{2} - i \frac{671}{2}

作图

流行的例子

(3x+2)(x^2-25)=0

(3 x + 2) (x^{2} - 25) = 0

6 x^{5} - 30 x^{4} = 0

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

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

根 x^3+2x^2-x-2

roo t s x^{3} + 2 x^{2} - x - 2

3 (1 + g)^{4} = 3.7