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受欢迎的代数 >

1/x+1/(x+5)= 1/6

解答

\frac{1}{x} + \frac{1}{x + 5} = \frac{1}{6}

解答

x = 10, x = - 3

求解步骤

\frac{1}{x} + \frac{1}{x + 5} = \frac{1}{6}

乘以最小公倍数

6 (x + 5) + 6 x = x (x + 5)

解

6 (x + 5) + 6 x = x (x + 5) : x = 10, x = - 3

x = 10, x = - 3

验证解

找到无定义的点（奇点）:

x = 0, x = - 5

将不在定义域的点与解相综合:

x = 10, x = - 3

作图

流行的例子

(600)/(300+x)=(400)/(300-x)

\frac{600}{300 + x} = \frac{400}{300 - x}

\frac{3}{4 ( 2 x - 3 )} = 1

1 - \frac{3}{x} = 0

solvefor y, 1/x+3/(y+1)= 5/4

so l v e f or y, \frac{1}{x} + \frac{3}{y + 1} = \frac{5}{4}

\frac{2}{3} = \frac{1}{y} + \frac{1}{6}