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受欢迎的代数 >

x/(-7x+2)=-2x-33

解答

\frac{x}{- 7 x + 2} = - 2 x - 33

解答

x = \frac{- 113 + 13693}{14}, x = - \frac{113 + 13693}{14}

+1

十进制

x = 0.28693 \dots, x = - 16.42979 \dots

求解步骤

\frac{x}{- 7 x + 2} = - 2 x - 33

在两边乘以

- 7 x + 2

x = - 2 x (- 7 x + 2) - 33 (- 7 x + 2)

解

x = - 2 x (- 7 x + 2) - 33 (- 7 x + 2) : x = \frac{- 113 + 13693}{14}, x = - \frac{113 + 13693}{14}

x = \frac{- 113 + 13693}{14}, x = - \frac{113 + 13693}{14}

验证解

找到无定义的点（奇点）:

x = \frac{2}{7}

将不在定义域的点与解相综合:

x = \frac{- 113 + 13693}{14}, x = - \frac{113 + 13693}{14}

作图

流行的例子

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\frac{5 + x}{8 + x} = \frac{3}{4}

(ax+b)/(cx+d)=e

\frac{a x + b}{c x + d} = e

(a+14)/a =(9a)/(a+14)

\frac{a + 14}{a} = \frac{9 a}{a + 14}

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

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