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

解答

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

解答

x = 1, x = - \frac{1}{2} + i \frac{7}{2}, x = - \frac{1}{2} - i \frac{7}{2}

求解步骤

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

整理后得

x^{3} + x - 2 = 0

因式分解

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

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

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x - 1 = 0 or x^{2} + x + 2 = 0

解

x - 1 = 0 : x = 1

解

x^{2} + x + 2 = 0 : x = - \frac{1}{2} + i \frac{7}{2}, x = - \frac{1}{2} - i \frac{7}{2}

解为

x = 1, x = - \frac{1}{2} + i \frac{7}{2}, x = - \frac{1}{2} - i \frac{7}{2}

作图

流行的例子

((5x-1)^3)/(2^4)=4^1

\frac{( 5 x - 1 ) ^{3}}{2 ^{4}} = 4^{1}

-y+4y^6=-3y-4+y

- y + 4 y^{6} = - 3 y - 4 + y

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

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

x^{3} = 90

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

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