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 >

2x^3+3x^2+3+2x=0

解答

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

解答

x = - \frac{3}{2}, x = i, x = - i

求解步骤

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

改写成标准形式

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

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

因式分解

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

(2 x + 3) (x^{2} + 1) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

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

解

2 x + 3 = 0 : x = - \frac{3}{2}

解

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

解为

x = - \frac{3}{2}, x = i, x = - i

作图

流行的例子

x^9-4x^7-x^6+4x^4=0

x^{9} - 4 x^{7} - x^{6} + 4 x^{4} = 0

x^3-12x^2+46x-60=0

x^{3} - 12 x^{2} + 46 x - 60 = 0

0 = x^{5} - 2 x^{4} + 1

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

(k^{3} - 1)^{2} = 0