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)/(x-3)=(x+1)/(x+3)

解答

\frac{2 x}{x - 3} = \frac{x + 1}{x + 3}

解答

x = - 4 - 13, x = - 4 + 13

+1

十进制

x = - 7.60555 \dots, x = - 0.39444 \dots

求解步骤

\frac{2 x}{x - 3} = \frac{x + 1}{x + 3}

使用分式交叉相乘

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

解

2 x (x + 3) = (x - 3) (x + 1) : x = - 4 - 13, x = - 4 + 13

x = - 4 - 13, x = - 4 + 13

验证解

找到无定义的点（奇点）:

x = 3, x = - 3

将不在定义域的点与解相综合:

x = - 4 - 13, x = - 4 + 13

作图

流行的例子

14 x - 45 = \frac{14}{x}

\frac{3}{10} = \frac{12}{x}

4 x^{2} = 2 x^{- 1}

8/x =(18)/(x-5)

\frac{8}{x} = \frac{18}{x - 5}

\frac{4 x + 8}{x + 2} = 4