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^4+6x^3+11x^2+6x=212520

解答

x^{4} + 6 x^{3} + 11 x^{2} + 6 x = 212520

解答

x = 20, x = - 23, x = - \frac{3}{2} + i \frac{1839}{2}, x = - \frac{3}{2} - i \frac{1839}{2}

求解步骤

x^{4} + 6 x^{3} + 11 x^{2} + 6 x = 212520

将

212520

para o lado esquerdo

x^{4} + 6 x^{3} + 11 x^{2} + 6 x - 212520 = 0

因式分解

x^{4} + 6 x^{3} + 11 x^{2} + 6 x - 212520 : (x - 20) (x + 23) (x^{2} + 3 x + 462)

(x - 20) (x + 23) (x^{2} + 3 x + 462) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x - 20 = 0 or x + 23 = 0 or x^{2} + 3 x + 462 = 0

解

x - 20 = 0 : x = 20

解

x + 23 = 0 : x = - 23

解

x^{2} + 3 x + 462 = 0 : x = - \frac{3}{2} + i \frac{1839}{2}, x = - \frac{3}{2} - i \frac{1839}{2}

解为

x = 20, x = - 23, x = - \frac{3}{2} + i \frac{1839}{2}, x = - \frac{3}{2} - i \frac{1839}{2}

作图

流行的例子

x (x - 2) (3 x - 1) = 0

solvefor x,x^3=10^6

so l v e f or x, x^{3} = 1 0^{6}

-x^3-x^2+8x-12=0

- x^{3} - x^{2} + 8 x - 12 = 0

4x^3-3x^2+3x-1=0

4 x^{3} - 3 x^{2} + 3 x - 1 = 0

- 4 (x - 8)^{3} = 0