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-5)+1/(x-3)=3

解答

\frac{2 x}{x - 5} + \frac{1}{x - 3} = 3

解答

x = \frac{19 - 161}{2}, x = \frac{19 + 161}{2}

+1

十进制

x = 3.15571 \dots, x = 15.84428 \dots

求解步骤

\frac{2 x}{x - 5} + \frac{1}{x - 3} = 3

乘以最小公倍数

2 x (x - 3) + x - 5 = 3 (x - 5) (x - 3)

解

2 x (x - 3) + x - 5 = 3 (x - 5) (x - 3) : x = \frac{19 - 161}{2}, x = \frac{19 + 161}{2}

x = \frac{19 - 161}{2}, x = \frac{19 + 161}{2}

验证解

找到无定义的点（奇点）:

x = 5, x = 3

将不在定义域的点与解相综合:

x = \frac{19 - 161}{2}, x = \frac{19 + 161}{2}

作图

流行的例子

6 x - \frac{4}{x} = 5

x+(2x+3)/(x+3)= x/(x+3)

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

2 x^{- 3} = 54

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

(x^2)/(x-1)=(x^2-16)/(x+4)

\frac{x ^{2}}{x - 1} = \frac{x ^{2} - 16}{x + 4}