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+2)+4/(x+9)=1

解答

\frac{2 x}{x + 2} + \frac{4}{x + 9} = 1

解答

x = \frac{- 11 + 161}{2}, x = \frac{- 11 - 161}{2}

+1

十进制

x = 0.84428 \dots, x = - 11.84428 \dots

求解步骤

\frac{2 x}{x + 2} + \frac{4}{x + 9} = 1

乘以最小公倍数

2 x (x + 9) + 4 (x + 2) = (x + 2) (x + 9)

解

2 x (x + 9) + 4 (x + 2) = (x + 2) (x + 9) : x = \frac{- 11 + 161}{2}, x = \frac{- 11 - 161}{2}

x = \frac{- 11 + 161}{2}, x = \frac{- 11 - 161}{2}

验证解

找到无定义的点（奇点）:

x = - 2, x = - 9

将不在定义域的点与解相综合:

x = \frac{- 11 + 161}{2}, x = \frac{- 11 - 161}{2}

作图

流行的例子

\frac{2}{7 y} = \frac{11}{8}

6=(349.48)/(349.48-x)(5)

6 = \frac{349.48}{349.48 - x} (5)

1/(3x+2)= 2/(4x-2)

\frac{1}{3 x + 2} = \frac{2}{4 x - 2}

10045=(10175)/((1+r)^1)

10045 = \frac{10175}{( 1 + r ) ^{1}}

-1/((x+5)^2)=-1

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