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受欢迎的代数 >

2/(x-2)+3/x = 5/(x-4)

解答

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

解答

x = \frac{3}{2}

+1

十进制

x = 1.5

求解步骤

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

乘以最小公倍数

5 x^{2} - 26 x + 24 = 5 x^{2} - 10 x

将

24

到右边

5 x^{2} - 26 x = 5 x^{2} - 10 x - 24

两边减去

5 x^{2} - 10 x

5 x^{2} - 26 x - (5 x^{2} - 10 x) = 5 x^{2} - 10 x - 24 - (5 x^{2} - 10 x)

化简

- 16 x = - 24

两边除以

- 16

x = \frac{3}{2}

验证解

找到无定义的点（奇点）:

x = 0, x = 2, x = 4

将不在定义域的点与解相综合:

x = \frac{3}{2}

作图

流行的例子

9/(-3x)=(12)/(x+10)

\frac{9}{- 3 x} = \frac{12}{x + 10}

\frac{6}{x + 7} = \frac{8}{x}

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

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

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

(2x)/(3x+5)= 3/(x+4)

\frac{2 x}{3 x + 5} = \frac{3}{x + 4}