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受欢迎的代数 >

(3x+2)/4 =5-(9x+14)/(12x)

解答

\frac{3 x + 2}{4} = 5 - \frac{9 x + 14}{12 x}

解答

x = \frac{14}{3}, x = \frac{1}{3}

+1

十进制

x = 4.66666 \dots, x = 0.33333 \dots

求解步骤

\frac{3 x + 2}{4} = 5 - \frac{9 x + 14}{12 x}

乘以最小公倍数

3 x (3 x + 2) = 60 x - (9 x + 14)

解

3 x (3 x + 2) = 60 x - (9 x + 14) : x = \frac{14}{3}, x = \frac{1}{3}

x = \frac{14}{3}, x = \frac{1}{3}

验证解

找到无定义的点（奇点）:

x = 0

将不在定义域的点与解相综合:

x = \frac{14}{3}, x = \frac{1}{3}

作图

流行的例子

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

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

2+5/(x-4)=(x+1)/(x-4)

2 + \frac{5}{x - 4} = \frac{x + 1}{x - 4}

\frac{15}{- 6 x} = - 4

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